22325001756400 has 120 divisors (see below), whose sum is σ = 61745508525600. Its totient is φ = 7598415482880.

The previous prime is 22325001756329. The next prime is 22325001756427. The reversal of 22325001756400 is 465710052322.

It is a super-3 number, since 3×22325001756400³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22325001756400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28715725 + ... + 29482924.

It is an arithmetic number, because the mean of its divisors is an integer number (514545904380).

Almost surely, 2^{22325001756400} is an apocalyptic number.

22325001756400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22325001756400 is an abundant number, since it is smaller than the sum of its proper divisors (39420506769200).

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

22325001756400 is a wasteful number, since it uses less digits than its factorization.

22325001756400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58198811 (or 58198800 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

It can be divided in two parts, 2232500 and 1756400, that added together give a triangular number (3988900 = T₂₈₂₄).

The spelling of 22325001756400 in words is "twenty-two trillion, three hundred twenty-five billion, one million, seven hundred fifty-six thousand, four hundred".