21177214518504 has 128 divisors (see below), whose sum is σ = 60850275033600. Its totient is φ = 6074138730240.

The previous prime is 21177214518457. The next prime is 21177214518527. The reversal of 21177214518504 is 40581541277112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3713019 + ... + 7492725.

It is an arithmetic number, because the mean of its divisors is an integer number (475392773700).

Almost surely, 2^{21177214518504} is an apocalyptic number.

21177214518504 is a gapful number since it is divisible by the number (24) 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 21177214518504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30425137516800).

21177214518504 is an abundant number, since it is smaller than the sum of its proper divisors (39673060515096).

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

21177214518504 is a wasteful number, since it uses less digits than its factorization.

21177214518504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780863 (or 3780859 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 48.

The spelling of 21177214518504 in words is "twenty-one trillion, one hundred seventy-seven billion, two hundred fourteen million, five hundred eighteen thousand, five hundred four".