22854251520 has 352 divisors, whose sum is σ = 83855600640. Its totient is φ = 5896765440.

The previous prime is 22854251491. The next prime is 22854251561. The reversal of 22854251520 is 2515245822.

22854251520 is a `hidden beast` number, since 2 + 2 + 85 + 4 + 2 + 51 + 520 = 666.

It is a super-3 number, since 3×22854251520³ (a number of 32 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4282774 + ... + 4288106.

Almost surely, 2^22854251520 is an apocalyptic number.

22854251520 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 22854251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41927800320).

22854251520 is an abundant number, since it is smaller than the sum of its proper divisors (61001349120).

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

22854251520 is a wasteful number, since it uses less digits than its factorization.

22854251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 22854251520 in words is "twenty-two billion, eight hundred fifty-four million, two hundred fifty-one thousand, five hundred twenty".