18872592036480 has 3072 divisors, whose sum is σ = 86852787840000. Its totient is φ = 3835914485760.

The previous prime is 18872592036451. The next prime is 18872592036499. The reversal of 18872592036480 is 8463029527881.

18872592036480 is a `hidden beast` number, since 1 + 8 + 8 + 7 + 2 + 592 + 0 + 36 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60683575525 + ... + 60683575835.

It is an arithmetic number, because the mean of its divisors is an integer number (28272391875).

It is a 2-persistent number, because it is pandigital, and so is 2⋅18872592036480 = 37745184072960, but 3⋅18872592036480 = 56617776109440 is not.

Almost surely, 2^{18872592036480} is an apocalyptic number.

18872592036480 is a gapful number since it is divisible by the number (10) 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 18872592036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43426393920000).

18872592036480 is an abundant number, since it is smaller than the sum of its proper divisors (67980195803520).

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

18872592036480 is a wasteful number, since it uses less digits than its factorization.

18872592036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 18872592036480 in words is "eighteen trillion, eight hundred seventy-two billion, five hundred ninety-two million, thirty-six thousand, four hundred eighty".