21308867915400 has 480 divisors, whose sum is σ = 81555409911360. Its totient is φ = 5123274831360.

The previous prime is 21308867915399. The next prime is 21308867915429. The reversal of 21308867915400 is 451976880312.

21308867915400 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 8 + 8 + 6 + 7 + 91 + 540 + 0 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 7879269 + ... + 10232331.

It is an arithmetic number, because the mean of its divisors is an integer number (169907103982).

It is a 1-persistent number, because it is pandigital, but 2⋅21308867915400 = 42617735830800 is not.

Almost surely, 2^{21308867915400} is an apocalyptic number.

21308867915400 is a gapful number since it is divisible by the number (20) 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 21308867915400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40777704955680).

21308867915400 is an abundant number, since it is smaller than the sum of its proper divisors (60246541995960).

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

21308867915400 is a wasteful number, since it uses less digits than its factorization.

21308867915400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353147 (or 2353129 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 21308867915400 in words is "twenty-one trillion, three hundred eight billion, eight hundred sixty-seven million, nine hundred fifteen thousand, four hundred".