22435997455872 has 1600 divisors, whose sum is σ = 90818965214208. Its totient is φ = 5325004800000.

The previous prime is 22435997455871. The next prime is 22435997455913. The reversal of 22435997455872 is 27855479953422.

22435997455872 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 5 + 9 + 97 + 455 + 87 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22435997455872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22435997455871) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4192857997 + ... + 4192863347.

Almost surely, 2^{22435997455872} is an apocalyptic number.

22435997455872 is a gapful number since it is divisible by the number (22) 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 22435997455872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45409482607104).

22435997455872 is an abundant number, since it is smaller than the sum of its proper divisors (68382967758336).

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

22435997455872 is a wasteful number, since it uses less digits than its factorization.

22435997455872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513 (or 5488 counting only the distinct ones).

The product of its digits is 1524096000, while the sum is 72.

The spelling of 22435997455872 in words is "twenty-two trillion, four hundred thirty-five billion, nine hundred ninety-seven million, four hundred fifty-five thousand, eight hundred seventy-two".