21506052096000 has 3072 divisors, whose sum is σ = 90026643732480. Its totient is φ = 5096079360000.

The previous prime is 21506052095939. The next prime is 21506052096047. The reversal of 21506052096000 is 69025060512.

21506052096000 is a `hidden beast` number, since 2 + 15 + 0 + 60 + 520 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 191 ways as a sum of consecutive naturals, for example, 524537855980 + ... + 524537856020.

It is an arithmetic number, because the mean of its divisors is an integer number (29305548090).

Almost surely, 2^{21506052096000} is an apocalyptic number.

21506052096000 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 21506052096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45013321866240).

21506052096000 is an abundant number, since it is smaller than the sum of its proper divisors (68520591636480).

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

21506052096000 is an frugal number, since it uses more digits than its factorization.

21506052096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 21506052096000 in words is "twenty-one trillion, five hundred six billion, fifty-two million, ninety-six thousand".