23154072480 has 768 divisors, whose sum is σ = 103255326720. Its totient is φ = 4705689600.

The previous prime is 23154072421. The next prime is 23154072493. The reversal of 23154072480 is 8427045132.

It is a happy number.

23154072480 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 407 + 248 + 0 = 666.

It is a super-2 number, since 2×23154072480² (a number of 22 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 15633340 + ... + 15634820.

It is an arithmetic number, because the mean of its divisors is an integer number (134447040).

Almost surely, 2^23154072480 is an apocalyptic number.

23154072480 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 23154072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51627663360).

23154072480 is an abundant number, since it is smaller than the sum of its proper divisors (80101254240).

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

23154072480 is a wasteful number, since it uses less digits than its factorization.

23154072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 23154072480 in words is "twenty-three billion, one hundred fifty-four million, seventy-two thousand, four hundred eighty".