10625865984 has 144 divisors (see below), whose sum is σ = 31854513600. Its totient is φ = 3493269504.

The previous prime is 10625865967. The next prime is 10625865989. The reversal of 10625865984 is 48956852601.

10625865984 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 586 + 59 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10625865984² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10625865984.

It is not an unprimeable number, because it can be changed into a prime (10625865989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494047 + ... + 515105.

It is an arithmetic number, because the mean of its divisors is an integer number (221211900).

Almost surely, 2^10625865984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10625865984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15927256800).

10625865984 is an abundant number, since it is smaller than the sum of its proper divisors (21228647616).

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

10625865984 is an equidigital number, since it uses as much as digits as its factorization.

10625865984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21157 (or 21137 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 10625865984 in words is "ten billion, six hundred twenty-five million, eight hundred sixty-five thousand, nine hundred eighty-four".