23548129920 has 1024 divisors, whose sum is σ = 101347200000. Its totient is φ = 5158895616.

The previous prime is 23548129907. The next prime is 23548129981. The reversal of 23548129920 is 2992184532.

23548129920 is a `hidden beast` number, since 2 + 3 + 548 + 12 + 9 + 92 + 0 = 666.

It is a super-3 number, since 3×23548129920³ (a number of 32 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 171884092 + ... + 171884228.

It is an arithmetic number, because the mean of its divisors is an integer number (98971875).

Almost surely, 2^23548129920 is an apocalyptic number.

23548129920 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 23548129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50673600000).

23548129920 is an abundant number, since it is smaller than the sum of its proper divisors (77799070080).

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

23548129920 is a wasteful number, since it uses less digits than its factorization.

23548129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 23548129920 in words is "twenty-three billion, five hundred forty-eight million, one hundred twenty-nine thousand, nine hundred twenty".