18735870552256 has 224 divisors, whose sum is σ = 45129830731776. Its totient is φ = 7604233728000.

The previous prime is 18735870552253. The next prime is 18735870552283. The reversal of 18735870552256 is 65225507853781.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (18735870552251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34166961 + ... + 34710991.

It is an arithmetic number, because the mean of its divisors is an integer number (201472458624).

Almost surely, 2^{18735870552256} is an apocalyptic number.

18735870552256 is a gapful number since it is divisible by the number (16) 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 18735870552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22564915365888).

18735870552256 is an abundant number, since it is smaller than the sum of its proper divisors (26393960179520).

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

18735870552256 is a wasteful number, since it uses less digits than its factorization.

18735870552256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544191 (or 544181 counting only the distinct ones).

The product of its (nonzero) digits is 141120000, while the sum is 64.

The spelling of 18735870552256 in words is "eighteen trillion, seven hundred thirty-five billion, eight hundred seventy million, five hundred fifty-two thousand, two hundred fifty-six".