38755397652480 has 416 divisors, whose sum is σ = 141140722504320. Its totient is φ = 10082699182080.

The previous prime is 38755397652479. The next prime is 38755397652533. The reversal of 38755397652480 is 8425679355783.

38755397652480 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 5 + 3 + 97 + 6 + 52 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38755397652399 and 38755397652408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21816639 + ... + 23526081.

Almost surely, 2^{38755397652480} is an apocalyptic number.

38755397652480 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 38755397652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70570361252160).

38755397652480 is an abundant number, since it is smaller than the sum of its proper divisors (102385324851840).

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

38755397652480 is a wasteful number, since it uses less digits than its factorization.

38755397652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709522 (or 1709494 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 38755397652480 in words is "thirty-eight trillion, seven hundred fifty-five billion, three hundred ninety-seven million, six hundred fifty-two thousand, four hundred eighty".