8113136210400 has 576 divisors, whose sum is σ = 29467938931200. Its totient is φ = 1925095710720.

The previous prime is 8113136210369. The next prime is 8113136210519. The reversal of 8113136210400 is 40126313118.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 585398671 + ... + 585412529.

It is an arithmetic number, because the mean of its divisors is an integer number (51159616200).

Almost surely, 2^{8113136210400} is an apocalyptic number.

8113136210400 is a gapful number since it is divisible by the number (80) 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 8113136210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14733969465600).

8113136210400 is an abundant number, since it is smaller than the sum of its proper divisors (21354802720800).

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

8113136210400 is a wasteful number, since it uses less digits than its factorization.

8113136210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14571 (or 14558 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 8113136210400 in words is "eight trillion, one hundred thirteen billion, one hundred thirty-six million, two hundred ten thousand, four hundred".