38117505761280 has 1520 divisors, whose sum is σ = 150840037472256. Its totient is φ = 9132174213120.

The previous prime is 38117505761261. The next prime is 38117505761287. The reversal of 38117505761280 is 8216750571183.

38117505761280 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 7 + 50 + 576 + 12 + 8 + 0 = 666.

It is a super-2 number, since 2×38117505761280² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38117505761287) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148317142912 + ... + 148317143168.

Almost surely, 2^{38117505761280} is an apocalyptic number.

38117505761280 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 38117505761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75420018736128).

38117505761280 is an abundant number, since it is smaller than the sum of its proper divisors (112722531710976).

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

38117505761280 is an equidigital number, since it uses as much as digits as its factorization.

38117505761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 38117505761280 in words is "thirty-eight trillion, one hundred seventeen billion, five hundred five million, seven hundred sixty-one thousand, two hundred eighty".