10257778460160 has 2880 divisors, whose sum is σ = 47626737979392. Its totient is φ = 1978712064000.

The previous prime is 10257778460117. The next prime is 10257778460173. The reversal of 10257778460160 is 6106487775201.

10257778460160 is a `hidden beast` number, since 1 + 0 + 2 + 57 + 7 + 78 + 460 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a junction number, because it is equal to n+sod(n) for n = 10257778460097 and 10257778460106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 144475752925 + ... + 144475752995.

Almost surely, 2^{10257778460160} is an apocalyptic number.

10257778460160 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 10257778460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23813368989696).

10257778460160 is an abundant number, since it is smaller than the sum of its proper divisors (37368959519232).

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

10257778460160 is a wasteful number, since it uses less digits than its factorization.

10257778460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 10257778460160 in words is "ten trillion, two hundred fifty-seven billion, seven hundred seventy-eight million, four hundred sixty thousand, one hundred sixty".