13112776245600 has 432 divisors, whose sum is σ = 46703921007744. Its totient is φ = 3461750784000.

The previous prime is 13112776245581. The next prime is 13112776245623. The reversal of 13112776245600 is 654267721131.

13112776245600 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 27 + 7 + 62 + 4 + 560 + 0 = 666.

13112776245600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 290591040 + ... + 290636160.

Almost surely, 2^{13112776245600} is an apocalyptic number.

13112776245600 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 13112776245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351960503872).

13112776245600 is an abundant number, since it is smaller than the sum of its proper divisors (33591144762144).

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

13112776245600 is a wasteful number, since it uses less digits than its factorization.

13112776245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45551 (or 45535 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13112776245600 in words is "thirteen trillion, one hundred twelve billion, seven hundred seventy-six million, two hundred forty-five thousand, six hundred".