22982627760400 has 675 divisors, whose sum is σ = 70903741277205. Its totient is φ = 7138104019200.

The previous prime is 22982627760361. The next prime is 22982627760409. The reversal of 22982627760400 is 406772628922.

The square root of 22982627760400 is 4794020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8273745993744 + 14708881766656 = 2876412^2 + 3835216^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (22982627760409) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 81210698659 + ... + 81210698941.

Almost surely, 2^{22982627760400} is an apocalyptic number.

22982627760400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22982627760400 is the 4794020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22982627760400

22982627760400 is an abundant number, since it is smaller than the sum of its proper divisors (47921113516805).

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

22982627760400 is an frugal number, since it uses more digits than its factorization.

22982627760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 55.

The spelling of 22982627760400 in words is "twenty-two trillion, nine hundred eighty-two billion, six hundred twenty-seven million, seven hundred sixty thousand, four hundred".