22396533868800 has 1728 divisors, whose sum is σ = 101419343746560. Its totient is φ = 4709467422720.

The previous prime is 22396533868777. The next prime is 22396533868811. The reversal of 22396533868800 is 886833569322.

22396533868800 is a `hidden beast` number, since 2 + 2 + 3 + 96 + 533 + 8 + 6 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×22396533868800² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4984759354 + ... + 4984763846.

Almost surely, 2^{22396533868800} is an apocalyptic number.

22396533868800 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 22396533868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50709671873280).

22396533868800 is an abundant number, since it is smaller than the sum of its proper divisors (79022809877760).

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

22396533868800 is a wasteful number, since it uses less digits than its factorization.

22396533868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4865 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 22396533868800 in words is "twenty-two trillion, three hundred ninety-six billion, five hundred thirty-three million, eight hundred sixty-eight thousand, eight hundred".