22754012400 has 1440 divisors, whose sum is σ = 103769548800. Its totient is φ = 4702924800.

The previous prime is 22754012377. The next prime is 22754012441. The reversal of 22754012400 is 421045722.

It is a super-3 number, since 3×22754012400³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 311698764 + ... + 311698836.

Almost surely, 2^22754012400 is an apocalyptic number.

22754012400 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 22754012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51884774400).

22754012400 is an abundant number, since it is smaller than the sum of its proper divisors (81015536400).

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

22754012400 is a wasteful number, since it uses less digits than its factorization.

22754012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 22754012400 in words is "twenty-two billion, seven hundred fifty-four million, twelve thousand, four hundred".