115426151816760 has 320 divisors, whose sum is σ = 410959662220800. Its totient is φ = 28957122514944.

The previous prime is 115426151816687. The next prime is 115426151816809. The reversal of 115426151816760 is 67618151624511.

115426151816760 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 2 + 6 + 1 + 518 + 1 + 67 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 115426151816697 and 115426151816706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 126725929 + ... + 127633511.

It is an arithmetic number, because the mean of its divisors is an integer number (1284248944440).

Almost surely, 2^{115426151816760} is an apocalyptic number.

115426151816760 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 115426151816760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205479831110400).

115426151816760 is an abundant number, since it is smaller than the sum of its proper divisors (295533510404040).

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

115426151816760 is a wasteful number, since it uses less digits than its factorization.

115426151816760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909932 (or 909919 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 115426151816760 in words is "one hundred fifteen trillion, four hundred twenty-six billion, one hundred fifty-one million, eight hundred sixteen thousand, seven hundred sixty".