22757209009920 has 864 divisors, whose sum is σ = 101446293150720. Its totient is φ = 4728764620800.

The previous prime is 22757209009897. The next prime is 22757209009999. The reversal of 22757209009920 is 2990090275722.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 28883605 + ... + 29661035.

Almost surely, 2^{22757209009920} is an apocalyptic number.

22757209009920 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 22757209009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50723146575360).

22757209009920 is an abundant number, since it is smaller than the sum of its proper divisors (78689084140800).

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

22757209009920 is a wasteful number, since it uses less digits than its factorization.

22757209009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777490 (or 777459 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 22757209009920 in words is "twenty-two trillion, seven hundred fifty-seven billion, two hundred nine million, nine thousand, nine hundred twenty".