23966960400 has 600 divisors, whose sum is σ = 92906658504. Its totient is φ = 5894553600.

The previous prime is 23966960399. The next prime is 23966960447. The reversal of 23966960400 is 406966932.

23966960400 is a `hidden beast` number, since 2 + 39 + 6 + 6 + 9 + 604 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3468738816 + 20498221584 = 58896^2 + 143172^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 29191990 + ... + 29192810.

Almost surely, 2^23966960400 is an apocalyptic number.

23966960400 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 23966960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46453329252).

23966960400 is an abundant number, since it is smaller than the sum of its proper divisors (68939698104).

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

23966960400 is a wasteful number, since it uses less digits than its factorization.

23966960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 23966960400 in words is "twenty-three billion, nine hundred sixty-six million, nine hundred sixty thousand, four hundred".