22490265600 has 1440 divisors, whose sum is σ = 99535035600. Its totient is φ = 4954521600.

The previous prime is 22490265563. The next prime is 22490265613. The reversal of 22490265600 is 656209422.

22490265600 is a `hidden beast` number, since 2 + 2 + 4 + 90 + 2 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 775526386 + ... + 775526414.

Almost surely, 2^22490265600 is an apocalyptic number.

22490265600 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 22490265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49767517800).

22490265600 is an abundant number, since it is smaller than the sum of its proper divisors (77044770000).

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

22490265600 is a wasteful number, since it uses less digits than its factorization.

22490265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 2249026 and 5600, that added together give a triangular number (2254626 = T₂₁₂₃).

The spelling of 22490265600 in words is "twenty-two billion, four hundred ninety million, two hundred sixty-five thousand, six hundred".