22257670902480 has 960 divisors, whose sum is σ = 83798124201792. Its totient is φ = 5258729226240.

The previous prime is 22257670902461. The next prime is 22257670902557. The reversal of 22257670902480 is 8420907675222.

22257670902480 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 7 + 6 + 70 + 90 + 2 + 480 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 22241448295056 + 16222607424 = 4716084^2 + 127368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9118258060 + ... + 9118260500.

Almost surely, 2^{22257670902480} is an apocalyptic number.

22257670902480 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 22257670902480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41899062100896).

22257670902480 is an abundant number, since it is smaller than the sum of its proper divisors (61540453299312).

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

22257670902480 is a wasteful number, since it uses less digits than its factorization.

22257670902480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 22257670902480 in words is "twenty-two trillion, two hundred fifty-seven billion, six hundred seventy million, nine hundred two thousand, four hundred eighty".