10487516256 has 576 divisors, whose sum is σ = 37617592320. Its totient is φ = 2830464000.

The previous prime is 10487516251. The next prime is 10487516269. The reversal of 10487516256 is 65261578401.

10487516256 is a `hidden beast` number, since 1 + 0 + 4 + 87 + 516 + 2 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10487516251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80057311 + ... + 80057441.

It is an arithmetic number, because the mean of its divisors is an integer number (65308320).

Almost surely, 2^10487516256 is an apocalyptic number.

10487516256 is a gapful number since it is divisible by the number (16) 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 10487516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808796160).

10487516256 is an abundant number, since it is smaller than the sum of its proper divisors (27130076064).

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

10487516256 is a wasteful number, since it uses less digits than its factorization.

10487516256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10487516256 in words is "ten billion, four hundred eighty-seven million, five hundred sixteen thousand, two hundred fifty-six".