115319674377600 has 3072 divisors, whose sum is σ = 495688273920000. Its totient is φ = 23353516032000.

The previous prime is 115319674377599. The next prime is 115319674377613. The reversal of 115319674377600 is 6773476913511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 267563049385 + ... + 267563049815.

It is an arithmetic number, because the mean of its divisors is an integer number (161356860000).

Almost surely, 2^{115319674377600} is an apocalyptic number.

115319674377600 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 115319674377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247844136960000).

115319674377600 is an abundant number, since it is smaller than the sum of its proper divisors (380368599542400).

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

115319674377600 is a wasteful number, since it uses less digits than its factorization.

115319674377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

The spelling of 115319674377600 in words is "one hundred fifteen trillion, three hundred nineteen billion, six hundred seventy-four million, three hundred seventy-seven thousand, six hundred".