10687502880 has 480 divisors, whose sum is σ = 40307984640. Its totient is φ = 2657525760.

The previous prime is 10687502857. The next prime is 10687502887. The reversal of 10687502880 is 8820578601.

10687502880 is a `hidden beast` number, since 1 + 0 + 68 + 7 + 502 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10687502880² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10687502887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39437145 + ... + 39437415.

It is an arithmetic number, because the mean of its divisors is an integer number (83974968).

Almost surely, 2^10687502880 is an apocalyptic number.

10687502880 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 10687502880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20153992320).

10687502880 is an abundant number, since it is smaller than the sum of its proper divisors (29620481760).

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

10687502880 is a wasteful number, since it uses less digits than its factorization.

10687502880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10687502880 in words is "ten billion, six hundred eighty-seven million, five hundred two thousand, eight hundred eighty".