22815355380480 has 864 divisors, whose sum is σ = 92799806211840. Its totient is φ = 5320486010880.

The previous prime is 22815355380457. The next prime is 22815355380617. The reversal of 22815355380480 is 8408355351822.

It is a happy number.

22815355380480 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 5 + 3 + 553 + 8 + 0 + 4 + 80 = 666.

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

It is a super-2 number, since 2×22815355380480² (a number of 28 digits) contains 22 as substring.

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

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, 76678395 + ... + 76975365.

Almost surely, 2^{22815355380480} is an apocalyptic number.

22815355380480 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 22815355380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46399903105920).

22815355380480 is an abundant number, since it is smaller than the sum of its proper divisors (69984450831360).

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

22815355380480 is a wasteful number, since it uses less digits than its factorization.

22815355380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297039 (or 297013 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 22815355380480 in words is "twenty-two trillion, eight hundred fifteen billion, three hundred fifty-five million, three hundred eighty thousand, four hundred eighty".