22920211075104 has 432 divisors, whose sum is σ = 80382084846336. Its totient is φ = 6166100505600.

The previous prime is 22920211075057. The next prime is 22920211075109. The reversal of 22920211075104 is 40157011202922.

It is a happy number.

22920211075104 is a `hidden beast` number, since 2 + 2 + 9 + 20 + 2 + 110 + 7 + 510 + 4 = 666.

It is a super-2 number, since 2×22920211075104² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22920211075109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15478459 + ... + 16894469.

It is an arithmetic number, because the mean of its divisors is an integer number (186069640848).

Almost surely, 2^{22920211075104} is an apocalyptic number.

22920211075104 is a gapful number since it is divisible by the number (24) 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 22920211075104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40191042423168).

22920211075104 is an abundant number, since it is smaller than the sum of its proper divisors (57461873771232).

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

22920211075104 is a wasteful number, since it uses less digits than its factorization.

22920211075104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416109 (or 1416091 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 22920211075104 in words is "twenty-two trillion, nine hundred twenty billion, two hundred eleven million, seventy-five thousand, one hundred four".