21122493495264 has 288 divisors, whose sum is σ = 69825452336640. Its totient is φ = 5932009036800.

The previous prime is 21122493495167. The next prime is 21122493495281. The reversal of 21122493495264 is 46259439422112.

21122493495264 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 2 + 4 + 93 + 495 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 21122493495264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47155102 + ... + 47600930.

It is an arithmetic number, because the mean of its divisors is an integer number (242449487280).

Almost surely, 2^{21122493495264} is an apocalyptic number.

21122493495264 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 21122493495264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34912726168320).

21122493495264 is an abundant number, since it is smaller than the sum of its proper divisors (48702958841376).

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

21122493495264 is a wasteful number, since it uses less digits than its factorization.

21122493495264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446254 (or 446243 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 21122493495264 in words is "twenty-one trillion, one hundred twenty-two billion, four hundred ninety-three million, four hundred ninety-five thousand, two hundred sixty-four".