10787889374640 has 2240 divisors, whose sum is σ = 48158869635072. Its totient is φ = 2189323468800.

The previous prime is 10787889374597. The next prime is 10787889374651. The reversal of 10787889374640 is 4647398878701.

10787889374640 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 78 + 8 + 93 + 7 + 464 + 0 = 666.

It is a super-2 number, since 2×10787889374640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 447 ways as a sum of consecutive naturals, for example, 8820841069 + ... + 8820842291.

Almost surely, 2^{10787889374640} is an apocalyptic number.

10787889374640 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 10787889374640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24079434817536).

10787889374640 is an abundant number, since it is smaller than the sum of its proper divisors (37370980260432).

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

10787889374640 is a wasteful number, since it uses less digits than its factorization.

10787889374640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 10787889374640 in words is "ten trillion, seven hundred eighty-seven billion, eight hundred eighty-nine million, three hundred seventy-four thousand, six hundred forty".