22505055002400 has 144 divisors (see below), whose sum is σ = 73745592480000. Its totient is φ = 5961070402560.

The previous prime is 22505055002351. The next prime is 22505055002431. The reversal of 22505055002400 is 420055050522.

It is a super-2 number, since 2×22505055002400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 31109200 + ... + 31824399.

It is an arithmetic number, because the mean of its divisors is an integer number (512122170000).

Almost surely, 2^{22505055002400} is an apocalyptic number.

22505055002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22505055002400 is an abundant number, since it is smaller than the sum of its proper divisors (51240537477600).

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

22505055002400 is a wasteful number, since it uses less digits than its factorization.

22505055002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62933771 (or 62933758 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The spelling of 22505055002400 in words is "twenty-two trillion, five hundred five billion, fifty-five million, two thousand, four hundred".