23579609040000 has 480 divisors, whose sum is σ = 91311089769900. Its totient is φ = 5804209152000.

The previous prime is 23579609039953. The next prime is 23579609040017. The reversal of 23579609040000 is 4090697532.

It is a happy number.

23579609040000 is a `hidden beast` number, since 2 + 35 + 7 + 9 + 609 + 0 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1264869112896 + 22314739927104 = 1124664^2 + 4723848^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 8100406 + ... + 10619594.

Almost surely, 2^{23579609040000} is an apocalyptic number.

23579609040000 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 23579609040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45655544884950).

23579609040000 is an abundant number, since it is smaller than the sum of its proper divisors (67731480729900).

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

23579609040000 is a wasteful number, since it uses less digits than its factorization.

23579609040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519242 (or 2519212 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 23579609040000 in words is "twenty-three trillion, five hundred seventy-nine billion, six hundred nine million, forty thousand".