38102625922560 has 160 divisors (see below), whose sum is σ = 121824893279232. Its totient is φ = 10159402229760.

The previous prime is 38102625922531. The next prime is 38102625922567. The reversal of 38102625922560 is 6522952620183.

It is a happy number.

38102625922560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×38102625922560³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38102625922567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60566425 + ... + 61192295.

Almost surely, 2^{38102625922560} is an apocalyptic number.

38102625922560 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 38102625922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60912446639616).

38102625922560 is an abundant number, since it is smaller than the sum of its proper divisors (83722267356672).

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

38102625922560 is an equidigital number, since it uses as much as digits as its factorization.

38102625922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633824 (or 633808 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 38102625922560 in words is "thirty-eight trillion, one hundred two billion, six hundred twenty-five million, nine hundred twenty-two thousand, five hundred sixty".