23513003481600 has 1440 divisors, whose sum is σ = 91969997543424. Its totient is φ = 5937430118400.

The previous prime is 23513003481599. The next prime is 23513003481613. The reversal of 23513003481600 is 618430031532.

23513003481600 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 3 + 0 + 0 + 3 + 48 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×23513003481600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7368536005 + ... + 7368539195.

Almost surely, 2^{23513003481600} is an apocalyptic number.

23513003481600 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 23513003481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45984998771712).

23513003481600 is an abundant number, since it is smaller than the sum of its proper divisors (68456994061824).

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

23513003481600 is a wasteful number, since it uses less digits than its factorization.

23513003481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23513003481600 in words is "twenty-three trillion, five hundred thirteen billion, three million, four hundred eighty-one thousand, six hundred".