12615532465800 has 384 divisors, whose sum is σ = 43717626892800. Its totient is φ = 2982788352000.

The previous prime is 12615532465793. The next prime is 12615532465817. The reversal of 12615532465800 is 856423551621.

It is a self number, because there is not a number n which added to its sum of digits gives 12615532465800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1295357331 + ... + 1295367069.

It is an arithmetic number, because the mean of its divisors is an integer number (113847986700).

Almost surely, 2^{12615532465800} is an apocalyptic number.

12615532465800 is a gapful number since it is divisible by the number (10) 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 12615532465800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21858813446400).

12615532465800 is an abundant number, since it is smaller than the sum of its proper divisors (31102094427000).

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

12615532465800 is a wasteful number, since it uses less digits than its factorization.

12615532465800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14597 (or 14588 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 12615532465800 in words is "twelve trillion, six hundred fifteen billion, five hundred thirty-two million, four hundred sixty-five thousand, eight hundred".