21458275915896 has 320 divisors, whose sum is σ = 62797186742400. Its totient is φ = 6837149668608.

The previous prime is 21458275915829. The next prime is 21458275915919. The reversal of 21458275915896 is 69851957285412.

21458275915896 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 8 + 27 + 591 + 5 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4719213895 + ... + 4719218441.

It is an arithmetic number, because the mean of its divisors is an integer number (196241208570).

Almost surely, 2^{21458275915896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21458275915896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31398593371200).

21458275915896 is an abundant number, since it is smaller than the sum of its proper divisors (41338910826504).

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

21458275915896 is a wasteful number, since it uses less digits than its factorization.

21458275915896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048 (or 7035 counting only the distinct ones).

The product of its digits is 435456000, while the sum is 72.

The spelling of 21458275915896 in words is "twenty-one trillion, four hundred fifty-eight billion, two hundred seventy-five million, nine hundred fifteen thousand, eight hundred ninety-six".