115762200400 has 720 divisors, whose sum is σ = 375463468800. Its totient is φ = 33454080000.

The previous prime is 115762200397. The next prime is 115762200419. The reversal of 115762200400 is 4002267511.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 581719501 + ... + 581719699.

It is an arithmetic number, because the mean of its divisors is an integer number (521477040).

Almost surely, 2^115762200400 is an apocalyptic number.

115762200400 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 115762200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187731734400).

115762200400 is an abundant number, since it is smaller than the sum of its proper divisors (259701268400).

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

115762200400 is a wasteful number, since it uses less digits than its factorization.

115762200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 115762200400 its reverse (4002267511), we get a palindrome (119764467911).

The spelling of 115762200400 in words is "one hundred fifteen billion, seven hundred sixty-two million, two hundred thousand, four hundred".