22727505346560 has 1440 divisors, whose sum is σ = 96174956731392. Its totient is φ = 5024734248960.

The previous prime is 22727505346531. The next prime is 22727505346573. The reversal of 22727505346560 is 6564350572722.

22727505346560 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 7 + 50 + 534 + 6 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 22727505346497 and 22727505346506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11519261734 + ... + 11519263706.

Almost surely, 2^{22727505346560} is an apocalyptic number.

22727505346560 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 22727505346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48087478365696).

22727505346560 is an abundant number, since it is smaller than the sum of its proper divisors (73447451384832).

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

22727505346560 is an frugal number, since it uses more digits than its factorization.

22727505346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 22727505346560 in words is "twenty-two trillion, seven hundred twenty-seven billion, five hundred five million, three hundred forty-six thousand, five hundred sixty".