22890470400 has 1320 divisors, whose sum is σ = 103196311680. Its totient is φ = 4897013760.

The previous prime is 22890470399. The next prime is 22890470413. The reversal of 22890470400 is 407409822.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 275788759 + ... + 275788841.

It is an arithmetic number, because the mean of its divisors is an integer number (78179024).

Almost surely, 2^22890470400 is an apocalyptic number.

22890470400 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 22890470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51598155840).

22890470400 is an abundant number, since it is smaller than the sum of its proper divisors (80305841280).

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

22890470400 is a wasteful number, since it uses less digits than its factorization.

22890470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 22890470400 in words is "twenty-two billion, eight hundred ninety million, four hundred seventy thousand, four hundred".