22805949158400 has 792 divisors, whose sum is σ = 81495065481984. Its totient is φ = 5620698316800.

The previous prime is 22805949158371. The next prime is 22805949158407. The reversal of 22805949158400 is 485194950822.

It is a super-2 number, since 2×22805949158400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22805949158407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1136706769 + ... + 1136726831.

It is an arithmetic number, because the mean of its divisors is an integer number (102897809952).

Almost surely, 2^{22805949158400} is an apocalyptic number.

22805949158400 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 22805949158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40747532740992).

22805949158400 is an abundant number, since it is smaller than the sum of its proper divisors (58689116323584).

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

22805949158400 is a wasteful number, since it uses less digits than its factorization.

22805949158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20175 (or 20133 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 22805949158400 in words is "twenty-two trillion, eight hundred five billion, nine hundred forty-nine million, one hundred fifty-eight thousand, four hundred".