23101696800 has 1728 divisors, whose sum is σ = 110715413760. Its totient is φ = 4598415360.

The previous prime is 23101696789. The next prime is 23101696841. The reversal of 23101696800 is 869610132.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 287 ways as a sum of consecutive naturals, for example, 316461564 + ... + 316461636.

It is an arithmetic number, because the mean of its divisors is an integer number (64071420).

Almost surely, 2^23101696800 is an apocalyptic number.

23101696800 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 23101696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55357706880).

23101696800 is an abundant number, since it is smaller than the sum of its proper divisors (87613716960).

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

23101696800 is a wasteful number, since it uses less digits than its factorization.

23101696800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 23101696800 in words is "twenty-three billion, one hundred one million, six hundred ninety-six thousand, eight hundred".