38275517952000 has 3328 divisors, whose sum is σ = 174876093849600. Its totient is φ = 8060298854400.

The previous prime is 38275517951939. The next prime is 38275517952041. The reversal of 38275517952000 is 25971557283.

38275517952000 is a `hidden beast` number, since 3 + 8 + 2 + 75 + 517 + 9 + 52 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87187967781 + ... + 87187968219.

It is an arithmetic number, because the mean of its divisors is an integer number (52546903200).

Almost surely, 2^{38275517952000} is an apocalyptic number.

38275517952000 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 38275517952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87438046924800).

38275517952000 is an abundant number, since it is smaller than the sum of its proper divisors (136600575897600).

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

38275517952000 is a wasteful number, since it uses less digits than its factorization.

38275517952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 38275517952000 in words is "thirty-eight trillion, two hundred seventy-five billion, five hundred seventeen million, nine hundred fifty-two thousand".