21936045926592 has 672 divisors, whose sum is σ = 75000129684480. Its totient is φ = 5999933399040.

The previous prime is 21936045926513. The next prime is 21936045926611. The reversal of 21936045926592 is 29562954063912.

21936045926592 is a `hidden beast` number, since 2 + 1 + 9 + 36 + 0 + 4 + 5 + 9 + 2 + 6 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×21936045926592² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3098745709 + ... + 3098752787.

It is an arithmetic number, because the mean of its divisors is an integer number (111607335840).

Almost surely, 2^{21936045926592} 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 21936045926592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37500064842240).

21936045926592 is an abundant number, since it is smaller than the sum of its proper divisors (53064083757888).

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

21936045926592 is a wasteful number, since it uses less digits than its factorization.

21936045926592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7501 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 21936045926592 in words is "twenty-one trillion, nine hundred thirty-six billion, forty-five million, nine hundred twenty-six thousand, five hundred ninety-two".