23867485142400 has 960 divisors, whose sum is σ = 89135247062400. Its totient is φ = 6288482304000.

The previous prime is 23867485142357. The next prime is 23867485142411. The reversal of 23867485142400 is 424158476832.

23867485142400 is a `hidden beast` number, since 2 + 3 + 8 + 67 + 48 + 514 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-4 number, since 4×23867485142400⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 12233461425 + ... + 12233463375.

It is an arithmetic number, because the mean of its divisors is an integer number (92849215690).

Almost surely, 2^{23867485142400} is an apocalyptic number.

23867485142400 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 23867485142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44567623531200).

23867485142400 is an abundant number, since it is smaller than the sum of its proper divisors (65267761920000).

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

23867485142400 is a wasteful number, since it uses less digits than its factorization.

23867485142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 23867485142400 in words is "twenty-three trillion, eight hundred sixty-seven billion, four hundred eighty-five million, one hundred forty-two thousand, four hundred".