115817964507840 has 224 divisors, whose sum is σ = 420310598690304. Its totient is φ = 26469097021440.

The previous prime is 115817964507809. The next prime is 115817964507893. The reversal of 115817964507840 is 48705469718511.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48680395 + ... + 51004085.

It is an arithmetic number, because the mean of its divisors is an integer number (1876386601296).

Almost surely, 2^{115817964507840} is an apocalyptic number.

115817964507840 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 115817964507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210155299345152).

115817964507840 is an abundant number, since it is smaller than the sum of its proper divisors (304492634182464).

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

115817964507840 is a wasteful number, since it uses less digits than its factorization.

115817964507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331135 (or 2331125 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 66.

The spelling of 115817964507840 in words is "one hundred fifteen trillion, eight hundred seventeen billion, nine hundred sixty-four million, five hundred seven thousand, eight hundred forty".