10257425631648 has 96 divisors (see below), whose sum is σ = 32218836955200. Its totient is φ = 3156130960128.

The previous prime is 10257425631577. The next prime is 10257425631653. The reversal of 10257425631648 is 84613652475201.

10257425631648 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 74 + 2 + 563 + 1 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 10257425631594 and 10257425631603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456604938 + ... + 456627401.

It is an arithmetic number, because the mean of its divisors is an integer number (335612884950).

Almost surely, 2^{10257425631648} is an apocalyptic number.

10257425631648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10257425631648 is an abundant number, since it is smaller than the sum of its proper divisors (21961411323552).

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

10257425631648 is a wasteful number, since it uses less digits than its factorization.

10257425631648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913232371 (or 913232357 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 10257425631648 in words is "ten trillion, two hundred fifty-seven billion, four hundred twenty-five million, six hundred thirty-one thousand, six hundred forty-eight".