23360856470400 has 1536 divisors, whose sum is σ = 85418804275200. Its totient is φ = 5589762048000.

The previous prime is 23360856470351. The next prime is 23360856470443. The reversal of 23360856470400 is 407465806332.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23360856470400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86202422265 + ... + 86202422535.

It is an arithmetic number, because the mean of its divisors is an integer number (55611200700).

Almost surely, 2^{23360856470400} is an apocalyptic number.

23360856470400 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 23360856470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42709402137600).

23360856470400 is an abundant number, since it is smaller than the sum of its proper divisors (62057947804800).

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

23360856470400 is a wasteful number, since it uses less digits than its factorization.

23360856470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 23360856470400 in words is "twenty-three trillion, three hundred sixty billion, eight hundred fifty-six million, four hundred seventy thousand, four hundred".