115351005320400 has 240 divisors, whose sum is σ = 370470632201280. Its totient is φ = 30680180428800.

The previous prime is 115351005320399. The next prime is 115351005320423. The reversal of 115351005320400 is 4023500153511.

115351005320400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1054024084 + ... + 1054133516.

It is an arithmetic number, because the mean of its divisors is an integer number (1543627634172).

Almost surely, 2^{115351005320400} is an apocalyptic number.

115351005320400 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 115351005320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185235316100640).

115351005320400 is an abundant number, since it is smaller than the sum of its proper divisors (255119626880880).

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

115351005320400 is a wasteful number, since it uses less digits than its factorization.

115351005320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111734 (or 111723 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 115351005320400 its reverse (4023500153511), we get a palindrome (119374505473911).

The spelling of 115351005320400 in words is "one hundred fifteen trillion, three hundred fifty-one billion, five million, three hundred twenty thousand, four hundred".