22420835712 has 384 divisors, whose sum is σ = 75193747200. Its totient is φ = 6344110080.

The previous prime is 22420835711. The next prime is 22420835737. The reversal of 22420835712 is 21753802422.

22420835712 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 0 + 83 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22420835711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12531714 + ... + 12533502.

It is an arithmetic number, because the mean of its divisors is an integer number (195817050).

Almost surely, 2^22420835712 is an apocalyptic number.

22420835712 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 22420835712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37596873600).

22420835712 is an abundant number, since it is smaller than the sum of its proper divisors (52772911488).

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

22420835712 is a wasteful number, since it uses less digits than its factorization.

22420835712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 22420835712 in words is "twenty-two billion, four hundred twenty million, eight hundred thirty-five thousand, seven hundred twelve".