21126162096000 has 2560 divisors, whose sum is σ = 87770636553600. Its totient is φ = 5003182080000.

The previous prime is 21126162095981. The next prime is 21126162096023. The reversal of 21126162096000 is 69026162112.

21126162096000 is a `hidden beast` number, since 2 + 1 + 1 + 26 + 1 + 6 + 20 + 9 + 600 + 0 = 666.

It is a super-2 number, since 2×21126162096000² (a number of 27 digits) contains 22 as substring.

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, 52683695800 + ... + 52683696200.

Almost surely, 2^{21126162096000} is an apocalyptic number.

21126162096000 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 21126162096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43885318276800).

21126162096000 is an abundant number, since it is smaller than the sum of its proper divisors (66644474457600).

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

21126162096000 is a wasteful number, since it uses less digits than its factorization.

21126162096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 21126162096000 in words is "twenty-one trillion, one hundred twenty-six billion, one hundred sixty-two million, ninety-six thousand".