10487527344 has 120 divisors (see below), whose sum is σ = 33616776960. Its totient is φ = 2989885824.

The previous prime is 10487527187. The next prime is 10487527357. The reversal of 10487527344 is 44372578401.

10487527344 is a `hidden beast` number, since 1 + 0 + 4 + 87 + 527 + 3 + 44 = 666.

It is a super-2 number, since 2×10487527344² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10487527344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459597 + ... + 481875.

It is an arithmetic number, because the mean of its divisors is an integer number (280139808).

Almost surely, 2^10487527344 is an apocalyptic number.

10487527344 is a gapful number since it is divisible by the number (14) 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 10487527344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808388480).

10487527344 is an abundant number, since it is smaller than the sum of its proper divisors (23129249616).

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

10487527344 is a wasteful number, since it uses less digits than its factorization.

10487527344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22767 (or 22758 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 10487527344 in words is "ten billion, four hundred eighty-seven million, five hundred twenty-seven thousand, three hundred forty-four".