23835772800 has 1152 divisors, whose sum is σ = 104968281600. Its totient is φ = 5225472000.

The previous prime is 23835772799. The next prime is 23835772837. The reversal of 23835772800 is 827753832.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157852725 + ... + 157852875.

It is an arithmetic number, because the mean of its divisors is an integer number (91118300).

Almost surely, 2^23835772800 is an apocalyptic number.

23835772800 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 23835772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52484140800).

23835772800 is an abundant number, since it is smaller than the sum of its proper divisors (81132508800).

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

23835772800 is a wasteful number, since it uses less digits than its factorization.

23835772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 23835772800 in words is "twenty-three billion, eight hundred thirty-five million, seven hundred seventy-two thousand, eight hundred".