10038253977600 has 252 divisors, whose sum is σ = 33193404038256. Its totient is φ = 2676846755840.

The previous prime is 10038253977593. The next prime is 10038253977617. The reversal of 10038253977600 is 677935283001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78579379 + ... + 78707021.

Almost surely, 2^{10038253977600} is an apocalyptic number.

10038253977600 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 10038253977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16596702019128).

10038253977600 is an abundant number, since it is smaller than the sum of its proper divisors (23155150060656).

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

10038253977600 is an frugal number, since it uses more digits than its factorization.

10038253977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127696 (or 127653 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 10038253977600 in words is "ten trillion, thirty-eight billion, two hundred fifty-three million, nine hundred seventy-seven thousand, six hundred".