10025616156400 has 240 divisors, whose sum is σ = 26031899414304. Its totient is φ = 3688579952640.

The previous prime is 10025616156349. The next prime is 10025616156443. The reversal of 10025616156400 is 465161652001.

It is a self number, because there is not a number n which added to its sum of digits gives 10025616156400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2636236899 + ... + 2636240701.

Almost surely, 2^{10025616156400} is an apocalyptic number.

10025616156400 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 10025616156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13015949707152).

10025616156400 is an abundant number, since it is smaller than the sum of its proper divisors (16006283257904).

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

10025616156400 is a wasteful number, since it uses less digits than its factorization.

10025616156400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 10025616156400 in words is "ten trillion, twenty-five billion, six hundred sixteen million, one hundred fifty-six thousand, four hundred".