115374821760 has 768 divisors, whose sum is σ = 460556928000. Its totient is φ = 26320896000.

The previous prime is 115374821759. The next prime is 115374821761. The reversal of 115374821760 is 67128473511.

115374821760 is a `hidden beast` number, since 1 + 1 + 5 + 374 + 8 + 217 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (115374821759) and next prime (115374821761).

It is a super-2 number, since 2×115374821760² (a number of 23 digits) contains 22 as substring.

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 (115374821761) 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, 287717560 + ... + 287717960.

It is an arithmetic number, because the mean of its divisors is an integer number (599683500).

Almost surely, 2^115374821760 is an apocalyptic number.

115374821760 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 115374821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230278464000).

115374821760 is an abundant number, since it is smaller than the sum of its proper divisors (345182106240).

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

115374821760 is a wasteful number, since it uses less digits than its factorization.

115374821760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 115374821760 in words is "one hundred fifteen billion, three hundred seventy-four million, eight hundred twenty-one thousand, seven hundred sixty".