22827311679720 has 128 divisors (see below), whose sum is σ = 69231061635840. Its totient is φ = 6020838113280.

The previous prime is 22827311679659. The next prime is 22827311679763. The reversal of 22827311679720 is 2797611372822.

It is a super-2 number, since 2×22827311679720² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9022792 + ... + 11272328.

It is an arithmetic number, because the mean of its divisors is an integer number (540867669030).

Almost surely, 2^{22827311679720} is an apocalyptic number.

22827311679720 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 22827311679720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34615530817920).

22827311679720 is an abundant number, since it is smaller than the sum of its proper divisors (46403749956120).

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

22827311679720 is a wasteful number, since it uses less digits than its factorization.

22827311679720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250475 (or 2250471 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 22827311679720 in words is "twenty-two trillion, eight hundred twenty-seven billion, three hundred eleven million, six hundred seventy-nine thousand, seven hundred twenty".