115793751420 has 384 divisors, whose sum is σ = 387725184000. Its totient is φ = 28632683520.

The previous prime is 115793751389. The next prime is 115793751421. The reversal of 115793751420 is 24157397511.

115793751420 is a `hidden beast` number, since 1 + 1 + 579 + 3 + 7 + 51 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115793751421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41074771 + ... + 41077589.

It is an arithmetic number, because the mean of its divisors is an integer number (1009701000).

Almost surely, 2^115793751420 is an apocalyptic number.

115793751420 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 115793751420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193862592000).

115793751420 is an abundant number, since it is smaller than the sum of its proper divisors (271931432580).

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

115793751420 is a wasteful number, since it uses less digits than its factorization.

115793751420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 115793751420 in words is "one hundred fifteen billion, seven hundred ninety-three million, seven hundred fifty-one thousand, four hundred twenty".