23225644080 has 320 divisors, whose sum is σ = 86008780800. Its totient is φ = 5742213120.

The previous prime is 23225644073. The next prime is 23225644109. The reversal of 23225644080 is 8044652232.

23225644080 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 5 + 644 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1922860 + ... + 1934900.

It is an arithmetic number, because the mean of its divisors is an integer number (268777440).

Almost surely, 2^23225644080 is an apocalyptic number.

23225644080 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 23225644080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43004390400).

23225644080 is an abundant number, since it is smaller than the sum of its proper divisors (62783136720).

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

23225644080 is a wasteful number, since it uses less digits than its factorization.

23225644080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12129 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 23225644080 in words is "twenty-three billion, two hundred twenty-five million, six hundred forty-four thousand, eighty".