22869977460400 has 240 divisors, whose sum is σ = 65461858172928. Its totient is φ = 7513061760000.

The previous prime is 22869977460391. The next prime is 22869977460419. The reversal of 22869977460400 is 406477996822.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7462449 + ... + 10071151.

Almost surely, 2^{22869977460400} is an apocalyptic number.

22869977460400 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 22869977460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32730929086464).

22869977460400 is an abundant number, since it is smaller than the sum of its proper divisors (42591880712528).

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

22869977460400 is a wasteful number, since it uses less digits than its factorization.

22869977460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608860 (or 2608849 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 64.

The spelling of 22869977460400 in words is "twenty-two trillion, eight hundred sixty-nine billion, nine hundred seventy-seven million, four hundred sixty thousand, four hundred".