38772752657200 has 120 divisors (see below), whose sum is σ = 93758933731680. Its totient is φ = 15408072192000.

The previous prime is 38772752657179. The next prime is 38772752657213. The reversal of 38772752657200 is 275625727783.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126834136 + ... + 127139464.

It is an arithmetic number, because the mean of its divisors is an integer number (781324447764).

Almost surely, 2^{38772752657200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38772752657200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46879466865840).

38772752657200 is an abundant number, since it is smaller than the sum of its proper divisors (54986181074480).

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

38772752657200 is a wasteful number, since it uses less digits than its factorization.

38772752657200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307415 (or 307404 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 61.

The spelling of 38772752657200 in words is "thirty-eight trillion, seven hundred seventy-two billion, seven hundred fifty-two million, six hundred fifty-seven thousand, two hundred".