115784782400 has 168 divisors, whose sum is σ = 328171186176. Its totient is φ = 39384576000.

The previous prime is 115784782397. The next prime is 115784782417. The reversal of 115784782400 is 4287487511.

It is a super-2 number, since 2×115784782400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1381700 + ... + 1463100.

Almost surely, 2^115784782400 is an apocalyptic number.

115784782400 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 115784782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164085593088).

115784782400 is an abundant number, since it is smaller than the sum of its proper divisors (212386403776).

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

115784782400 is a wasteful number, since it uses less digits than its factorization.

115784782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81557 (or 81542 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 47.

The spelling of 115784782400 in words is "one hundred fifteen billion, seven hundred eighty-four million, seven hundred eighty-two thousand, four hundred".