22150598400 has 648 divisors, whose sum is σ = 91394712864. Its totient is φ = 5013504000.

The previous prime is 22150598399. The next prime is 22150598401. The reversal of 22150598400 is 489505122.

22150598400 is a `hidden beast` number, since 2 + 21 + 5 + 0 + 598 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22150598399) and next prime (22150598401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22150598401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55238200 + ... + 55238600.

Almost surely, 2^22150598400 is an apocalyptic number.

22150598400 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 22150598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45697356432).

22150598400 is an abundant number, since it is smaller than the sum of its proper divisors (69244114464).

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

22150598400 is a wasteful number, since it uses less digits than its factorization.

22150598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 22150598400 in words is "twenty-two billion, one hundred fifty million, five hundred ninety-eight thousand, four hundred".