21296553981120 has 672 divisors, whose sum is σ = 82905037802496. Its totient is φ = 5160626380800.

The previous prime is 21296553981089. The next prime is 21296553981149. The reversal of 21296553981120 is 2118935569212.

21296553981120 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 6 + 5 + 539 + 81 + 1 + 20 = 666.

It is a super-2 number, since 2×21296553981120² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3105808732 + ... + 3105815588.

It is an arithmetic number, because the mean of its divisors is an integer number (123370591968).

Almost surely, 2^{21296553981120} is an apocalyptic number.

21296553981120 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 21296553981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41452518901248).

21296553981120 is an abundant number, since it is smaller than the sum of its proper divisors (61608483821376).

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

21296553981120 is a wasteful number, since it uses less digits than its factorization.

21296553981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 21296553981120 in words is "twenty-one trillion, two hundred ninety-six billion, five hundred fifty-three million, nine hundred eighty-one thousand, one hundred twenty".