22051953000 has 512 divisors, whose sum is σ = 95319244800. Its totient is φ = 4581792000.

The previous prime is 22051952987. The next prime is 22051953067. The reversal of 22051953000 is 35915022.

22051953000 is a `hidden beast` number, since 220 + 51 + 95 + 300 + 0 = 666.

It is a Cunningham number, because it is equal to 148499²-1.

It is a super-2 number, since 2×22051953000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2073697 + ... + 2084303.

It is an arithmetic number, because the mean of its divisors is an integer number (186170400).

Almost surely, 2^22051953000 is an apocalyptic number.

22051953000 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 22051953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47659622400).

22051953000 is an abundant number, since it is smaller than the sum of its proper divisors (73267291800).

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

22051953000 is a wasteful number, since it uses less digits than its factorization.

22051953000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10655 (or 10635 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 22051953000 in words is "twenty-two billion, fifty-one million, nine hundred fifty-three thousand".