10625319936 has 1056 divisors, whose sum is σ = 43012546560. Its totient is φ = 2554675200.

The previous prime is 10625319931. The next prime is 10625319997. The reversal of 10625319936 is 63991352601.

10625319936 is a `hidden beast` number, since 1 + 0 + 625 + 3 + 19 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×10625319936² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10625319891 and 10625319900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10625319931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342752241 + ... + 342752271.

Almost surely, 2^10625319936 is an apocalyptic number.

10625319936 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 10625319936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506273280).

10625319936 is an abundant number, since it is smaller than the sum of its proper divisors (32387226624).

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

10625319936 is a wasteful number, since it uses less digits than its factorization.

10625319936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 10625319936 in words is "ten billion, six hundred twenty-five million, three hundred nineteen thousand, nine hundred thirty-six".