23720180400 has 480 divisors, whose sum is σ = 96935224320. Its totient is φ = 5396613120.

The previous prime is 23720180387. The next prime is 23720180459. The reversal of 23720180400 is 408102732.

23720180400 is a `hidden beast` number, since 237 + 20 + 1 + 8 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19882204 + ... + 19883396.

It is an arithmetic number, because the mean of its divisors is an integer number (201948384).

Almost surely, 2^23720180400 is an apocalyptic number.

23720180400 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 23720180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48467612160).

23720180400 is an abundant number, since it is smaller than the sum of its proper divisors (73215043920).

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

23720180400 is a wasteful number, since it uses less digits than its factorization.

23720180400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 23720180400 in words is "twenty-three billion, seven hundred twenty million, one hundred eighty thousand, four hundred".