1013660092800 has 768 divisors, whose sum is σ = 3915061920000. Its totient is φ = 255421071360.

The previous prime is 1013660092789. The next prime is 1013660092807. The reversal of 1013660092800 is 82900663101.

1013660092800 is a `hidden beast` number, since 10 + 1 + 36 + 600 + 9 + 2 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×1013660092800² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013660092807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1081813932 + ... + 1081814868.

It is an arithmetic number, because the mean of its divisors is an integer number (5097736875).

Almost surely, 2^{1013660092800} is an apocalyptic number.

1013660092800 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 1013660092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957530960000).

1013660092800 is an abundant number, since it is smaller than the sum of its proper divisors (2901401827200).

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

1013660092800 is a wasteful number, since it uses less digits than its factorization.

1013660092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1013660092800 in words is "one trillion, thirteen billion, six hundred sixty million, ninety-two thousand, eight hundred".