10257505965 has 192 divisors, whose sum is σ = 21996748800. Its totient is φ = 4318272000.

The previous prime is 10257505949. The next prime is 10257505991. The reversal of 10257505965 is 56950575201.

10257505965 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 7 + 50 + 596 + 5 = 666.

It is not a de Polignac number, because 10257505965 - 2⁴ = 10257505949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10257505965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42918316 + ... + 42918554.

It is an arithmetic number, because the mean of its divisors is an integer number (114566400).

Almost surely, 2^10257505965 is an apocalyptic number.

10257505965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10257505965 is an abundant number, since it is smaller than the sum of its proper divisors (11739242835).

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

10257505965 is a wasteful number, since it uses less digits than its factorization.

10257505965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 10257505965 in words is "ten billion, two hundred fifty-seven million, five hundred five thousand, nine hundred sixty-five".