23513456901600 has 216 divisors, whose sum is σ = 83034336759192. Its totient is φ = 6261179673600.

The previous prime is 23513456901587. The next prime is 23513456901611. The reversal of 23513456901600 is 610965431532.

23513456901600 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 34 + 5 + 6 + 9 + 0 + 1 + 600 = 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2612134 + ... + 7338266.

It is an arithmetic number, because the mean of its divisors is an integer number (384418225737).

Almost surely, 2^{23513456901600} is an apocalyptic number.

23513456901600 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 23513456901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41517168379596).

23513456901600 is an abundant number, since it is smaller than the sum of its proper divisors (59520879857592).

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

23513456901600 is a wasteful number, since it uses less digits than its factorization.

23513456901600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726850 (or 4726834 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 23513456901600 in words is "twenty-three trillion, five hundred thirteen billion, four hundred fifty-six million, nine hundred one thousand, six hundred".