115434600573600 has 1440 divisors, whose sum is σ = 525215858783616. Its totient is φ = 23969356185600.

The previous prime is 115434600573587. The next prime is 115434600573613. The reversal of 115434600573600 is 6375006434511.

115434600573600 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 3 + 4 + 600 + 5 + 7 + 36 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115434600573587) and next prime (115434600573613).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7748841352 + ... + 7748856248.

Almost surely, 2^{115434600573600} is an apocalyptic number.

115434600573600 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 115434600573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262607929391808).

115434600573600 is an abundant number, since it is smaller than the sum of its proper divisors (409781258210016).

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

115434600573600 is a wasteful number, since it uses less digits than its factorization.

115434600573600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16500 (or 16478 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 115434600573600 in words is "one hundred fifteen trillion, four hundred thirty-four billion, six hundred million, five hundred seventy-three thousand, six hundred".