10625653080000 has 840 divisors, whose sum is σ = 43748598942048. Its totient is φ = 2414582784000.

The previous prime is 10625653079971. The next prime is 10625653080023. The reversal of 10625653080000 is 8035652601.

10625653080000 is a `hidden beast` number, since 1 + 0 + 62 + 565 + 30 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×10625653080000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 435947814 + ... + 435972186.

Almost surely, 2^{10625653080000} is an apocalyptic number.

10625653080000 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 10625653080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21874299471024).

10625653080000 is an abundant number, since it is smaller than the sum of its proper divisors (33122945862048).

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

10625653080000 is a wasteful number, since it uses less digits than its factorization.

10625653080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24591 (or 24563 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10625653080000 in words is "ten trillion, six hundred twenty-five billion, six hundred fifty-three million, eighty thousand".