23400857376000 has 864 divisors, whose sum is σ = 92034695870208. Its totient is φ = 5674176921600.

The previous prime is 23400857375993. The next prime is 23400857376049. The reversal of 23400857376000 is 67375800432.

23400857376000 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 0 + 8 + 5 + 7 + 37 + 600 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250801357 + ... + 250894643.

Almost surely, 2^{23400857376000} is an apocalyptic number.

23400857376000 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 23400857376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46017347935104).

23400857376000 is an abundant number, since it is smaller than the sum of its proper divisors (68633838494208).

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

23400857376000 is a wasteful number, since it uses less digits than its factorization.

23400857376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93404 (or 93377 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 23400857376000 in words is "twenty-three trillion, four hundred billion, eight hundred fifty-seven million, three hundred seventy-six thousand".