21046520252160 has 2880 divisors, whose sum is σ = 88671945922560. Its totient is φ = 4724543324160.

The previous prime is 21046520252159. The next prime is 21046520252203. The reversal of 21046520252160 is 6125202564012.

21046520252160 is a `hidden beast` number, since 2 + 10 + 4 + 65 + 2 + 0 + 2 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 67673698405 + ... + 67673698715.

It is an arithmetic number, because the mean of its divisors is an integer number (30788870112).

Almost surely, 2^{21046520252160} is an apocalyptic number.

21046520252160 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 21046520252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44335972961280).

21046520252160 is an abundant number, since it is smaller than the sum of its proper divisors (67625425670400).

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

21046520252160 is a wasteful number, since it uses less digits than its factorization.

21046520252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 21046520252160 in words is "twenty-one trillion, forty-six billion, five hundred twenty million, two hundred fifty-two thousand, one hundred sixty".