21107969516304 has 320 divisors, whose sum is σ = 70082264448000. Its totient is φ = 6015469224960.

The previous prime is 21107969516303. The next prime is 21107969516317. The reversal of 21107969516304 is 40361596970112.

21107969516304 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 7 + 96 + 9 + 516 + 30 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21107969516303) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11516227 + ... + 13222685.

It is an arithmetic number, because the mean of its divisors is an integer number (219007076400).

Almost surely, 2^{21107969516304} is an apocalyptic number.

21107969516304 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 21107969516304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35041132224000).

21107969516304 is an abundant number, since it is smaller than the sum of its proper divisors (48974294931696).

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

21107969516304 is a wasteful number, since it uses less digits than its factorization.

21107969516304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706643 (or 1706631 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 21107969516304 in words is "twenty-one trillion, one hundred seven billion, nine hundred sixty-nine million, five hundred sixteen thousand, three hundred four".