23282572320 has 288 divisors, whose sum is σ = 93732387840. Its totient is φ = 5149992960.

The previous prime is 23282572303. The next prime is 23282572409. The reversal of 23282572320 is 2327528232.

It is a happy number.

23282572320 is a `hidden beast` number, since 2 + 3 + 2 + 82 + 572 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 275226 + ... + 349734.

It is an arithmetic number, because the mean of its divisors is an integer number (325459680).

Almost surely, 2^23282572320 is an apocalyptic number.

23282572320 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 23282572320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46866193920).

23282572320 is an abundant number, since it is smaller than the sum of its proper divisors (70449815520).

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

23282572320 is a wasteful number, since it uses less digits than its factorization.

23282572320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74568 (or 74557 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 23282572320 in words is "twenty-three billion, two hundred eighty-two million, five hundred seventy-two thousand, three hundred twenty".