22749635840400 has 480 divisors, whose sum is σ = 92564320782080. Its totient is φ = 5198508564480.

The previous prime is 22749635840377. The next prime is 22749635840447. The reversal of 22749635840400 is 404853694722.

It is a happy number.

22749635840400 is a `hidden beast` number, since 2 + 2 + 7 + 496 + 35 + 84 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293062392 + ... + 293140008.

Almost surely, 2^{22749635840400} is an apocalyptic number.

22749635840400 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 22749635840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46282160391040).

22749635840400 is an abundant number, since it is smaller than the sum of its proper divisors (69814684941680).

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

22749635840400 is a wasteful number, since it uses less digits than its factorization.

22749635840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81528 (or 81511 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 22749635840400 in words is "twenty-two trillion, seven hundred forty-nine billion, six hundred thirty-five million, eight hundred forty thousand, four hundred".