38160010257600 has 1008 divisors, whose sum is σ = 157374500998400. Its totient is φ = 7924176691200.

The previous prime is 38160010257587. The next prime is 38160010257617. The reversal of 38160010257600 is 675201006183.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12274044846 + ... + 12274047954.

Almost surely, 2^{38160010257600} is an apocalyptic number.

38160010257600 is a gapful number since it is divisible by the number (30) 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 38160010257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78687250499200).

38160010257600 is an abundant number, since it is smaller than the sum of its proper divisors (119214490740800).

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

38160010257600 is a wasteful number, since it uses less digits than its factorization.

38160010257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 38160010257600 in words is "thirty-eight trillion, one hundred sixty billion, ten million, two hundred fifty-seven thousand, six hundred".