38725622812800 has 2880 divisors, whose sum is σ = 183786513071040. Its totient is φ = 7795209830400.

The previous prime is 38725622812787. The next prime is 38725622812841. The reversal of 38725622812800 is 821822652783.

38725622812800 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 5 + 622 + 8 + 1 + 2 + 8 + 0 + 0 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 169107523086 + ... + 169107523314.

It is an arithmetic number, because the mean of its divisors is an integer number (63814761483).

Almost surely, 2^{38725622812800} is an apocalyptic number.

38725622812800 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 38725622812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91893256535520).

38725622812800 is an abundant number, since it is smaller than the sum of its proper divisors (145060890258240).

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

38725622812800 is a wasteful number, since it uses less digits than its factorization.

38725622812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 38725622812800 in words is "thirty-eight trillion, seven hundred twenty-five billion, six hundred twenty-two million, eight hundred twelve thousand, eight hundred".