22625815680 has 384 divisors, whose sum is σ = 86108742720. Its totient is φ = 5439135744.

The previous prime is 22625815649. The next prime is 22625815697. The reversal of 22625815680 is 8651852622.

It is a happy number.

22625815680 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 5 + 81 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3216327 + ... + 3223353.

Almost surely, 2^22625815680 is an apocalyptic number.

22625815680 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 22625815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43054371360).

22625815680 is an abundant number, since it is smaller than the sum of its proper divisors (63482927040).

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

22625815680 is a wasteful number, since it uses less digits than its factorization.

22625815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108 (or 7093 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 22625815680 in words is "twenty-two billion, six hundred twenty-five million, eight hundred fifteen thousand, six hundred eighty".