38755340482560 has 1536 divisors, whose sum is σ = 143204873011200. Its totient is φ = 8869089116160.

The previous prime is 38755340482559. The next prime is 38755340482577. The reversal of 38755340482560 is 6528404355783.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 38755340482494 and 38755340482503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126238893927 + ... + 126238894233.

It is an arithmetic number, because the mean of its divisors is an integer number (93232339200).

Almost surely, 2^{38755340482560} is an apocalyptic number.

38755340482560 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 38755340482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71602436505600).

38755340482560 is an abundant number, since it is smaller than the sum of its proper divisors (104449532528640).

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

38755340482560 is a wasteful number, since it uses less digits than its factorization.

38755340482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 60.

The spelling of 38755340482560 in words is "thirty-eight trillion, seven hundred fifty-five billion, three hundred forty million, four hundred eighty-two thousand, five hundred sixty".