1013868676800 has 756 divisors, whose sum is σ = 4165105685520. Its totient is φ = 229137776640.

The previous prime is 1013868676783. The next prime is 1013868676813. The reversal of 1013868676800 is 86768683101.

1013868676800 is a `hidden beast` number, since 101 + 386 + 86 + 7 + 6 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 948426666 + ... + 948427734.

Almost surely, 2^{1013868676800} is an apocalyptic number.

1013868676800 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 1013868676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082552842760).

1013868676800 is an abundant number, since it is smaller than the sum of its proper divisors (3151237008720).

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

1013868676800 is a wasteful number, since it uses less digits than its factorization.

1013868676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1013868676800 in words is "one trillion, thirteen billion, eight hundred sixty-eight million, six hundred seventy-six thousand, eight hundred".