22086275400 has 384 divisors, whose sum is σ = 87181920000. Its totient is φ = 5034424320.

The previous prime is 22086275399. The next prime is 22086275411. The reversal of 22086275400 is 457268022.

22086275400 is a `hidden beast` number, since 2 + 20 + 8 + 627 + 5 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×22086275400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21054076 + ... + 21055124.

It is an arithmetic number, because the mean of its divisors is an integer number (227036250).

Almost surely, 2^22086275400 is an apocalyptic number.

22086275400 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 22086275400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43590960000).

22086275400 is an abundant number, since it is smaller than the sum of its proper divisors (65095644600).

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

22086275400 is a wasteful number, since it uses less digits than its factorization.

22086275400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 22086275400 in words is "twenty-two billion, eighty-six million, two hundred seventy-five thousand, four hundred".