1013556932800 has 252 divisors, whose sum is σ = 2570982196608. Its totient is φ = 393264128000.

The previous prime is 1013556932783. The next prime is 1013556932837. The reversal of 1013556932800 is 82396553101.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 513712614 + ... + 513714586.

It is an arithmetic number, because the mean of its divisors is an integer number (10202310304).

Almost surely, 2^{1013556932800} is an apocalyptic number.

1013556932800 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 1013556932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285491098304).

1013556932800 is an abundant number, since it is smaller than the sum of its proper divisors (1557425263808).

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

1013556932800 is a wasteful number, since it uses less digits than its factorization.

1013556932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 1013556932800 in words is "one trillion, thirteen billion, five hundred fifty-six million, nine hundred thirty-two thousand, eight hundred".