22726849777920 has 360 divisors, whose sum is σ = 81679150675584. Its totient is φ = 6033788817408.

The previous prime is 22726849777903. The next prime is 22726849777937. The reversal of 22726849777920 is 2977794862722.

It is a happy number.

22726849777920 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 68 + 497 + 7 + 79 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22726849777903) and next prime (22726849777937).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23052537 + ... + 24018183.

Almost surely, 2^{22726849777920} is an apocalyptic number.

22726849777920 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 22726849777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40839575337792).

22726849777920 is an abundant number, since it is smaller than the sum of its proper divisors (58952300897664).

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

22726849777920 is an equidigital number, since it uses as much as digits as its factorization.

22726849777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965907 (or 965884 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 72.

The spelling of 22726849777920 in words is "twenty-two trillion, seven hundred twenty-six billion, eight hundred forty-nine million, seven hundred seventy-seven thousand, nine hundred twenty".