22755537577320 has 256 divisors, whose sum is σ = 73831859354880. Its totient is φ = 5589953740800.

The previous prime is 22755537577273. The next prime is 22755537577349. The reversal of 22755537577320 is 2377573555722.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18925300 + ... + 20091740.

It is an arithmetic number, because the mean of its divisors is an integer number (288405700605).

Almost surely, 2^{22755537577320} is an apocalyptic number.

22755537577320 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 22755537577320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36915929677440).

22755537577320 is an abundant number, since it is smaller than the sum of its proper divisors (51076321777560).

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

22755537577320 is a wasteful number, since it uses less digits than its factorization.

22755537577320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166676 (or 1166672 counting only the distinct ones).

The product of its (nonzero) digits is 108045000, while the sum is 60.

The spelling of 22755537577320 in words is "twenty-two trillion, seven hundred fifty-five billion, five hundred thirty-seven million, five hundred seventy-seven thousand, three hundred twenty".