23164721280 has 512 divisors, whose sum is σ = 84602880000. Its totient is φ = 5988003840.

The previous prime is 23164721267. The next prime is 23164721287. The reversal of 23164721280 is 8212746132.

It is a happy number.

23164721280 is a `hidden beast` number, since 2 + 3 + 1 + 647 + 2 + 1 + 2 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23164721287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96923401 + ... + 96923639.

It is an arithmetic number, because the mean of its divisors is an integer number (165240000).

Almost surely, 2^23164721280 is an apocalyptic number.

23164721280 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 23164721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42301440000).

23164721280 is an abundant number, since it is smaller than the sum of its proper divisors (61438158720).

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

23164721280 is a wasteful number, since it uses less digits than its factorization.

23164721280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 23164721280 in words is "twenty-three billion, one hundred sixty-four million, seven hundred twenty-one thousand, two hundred eighty".