10987312307328 has 512 divisors, whose sum is σ = 38499245568000. Its totient is φ = 3019509964800.

The previous prime is 10987312307327. The next prime is 10987312307329. The reversal of 10987312307328 is 82370321378901.

10987312307328 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 7 + 3 + 1 + 2 + 307 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (10987312307327) and next prime (10987312307329).

It is a super-3 number, since 3×10987312307328³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10987312307327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70344903 + ... + 70500921.

It is an arithmetic number, because the mean of its divisors is an integer number (75193839000).

Almost surely, 2^{10987312307328} is an apocalyptic number.

10987312307328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10987312307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19249622784000).

10987312307328 is an abundant number, since it is smaller than the sum of its proper divisors (27511933260672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10987312307328 is a wasteful number, since it uses less digits than its factorization.

10987312307328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156161 (or 156143 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10987312307328 in words is "ten trillion, nine hundred eighty-seven billion, three hundred twelve million, three hundred seven thousand, three hundred twenty-eight".