10987913502720 has 2464 divisors, whose sum is σ = 50149720823040. Its totient is φ = 2244504453120.

The previous prime is 10987913502719. The next prime is 10987913502737. The reversal of 10987913502720 is 2720531978901.

It is a happy number.

10987913502720 is a `hidden beast` number, since 10 + 9 + 8 + 7 + 9 + 1 + 350 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 186235822051 + ... + 186235822109.

Almost surely, 2^{10987913502720} is an apocalyptic number.

10987913502720 is a gapful number since it is divisible by the number (10) 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 10987913502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25074860411520).

10987913502720 is an abundant number, since it is smaller than the sum of its proper divisors (39161807320320).

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

10987913502720 is an frugal number, since it uses more digits than its factorization.

10987913502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 10987913502720 in words is "ten trillion, nine hundred eighty-seven billion, nine hundred thirteen million, five hundred two thousand, seven hundred twenty".