1013842252800 has 1584 divisors, whose sum is σ = 4124441018880. Its totient is φ = 236224512000.

The previous prime is 1013842252789. The next prime is 1013842252817. The reversal of 1013842252800 is 82522483101.

It is a happy number.

1013842252800 is a `hidden beast` number, since 101 + 3 + 8 + 4 + 22 + 528 + 0 + 0 = 666.

It is a super-2 number, since 2×1013842252800² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5663923111 + ... + 5663923289.

Almost surely, 2^{1013842252800} is an apocalyptic number.

1013842252800 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 1013842252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062220509440).

1013842252800 is an abundant number, since it is smaller than the sum of its proper divisors (3110598766080).

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

1013842252800 is a wasteful number, since it uses less digits than its factorization.

1013842252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1013842252800 in words is "one trillion, thirteen billion, eight hundred forty-two million, two hundred fifty-two thousand, eight hundred".