115257749242240 has 256 divisors, whose sum is σ = 310310617006080. Its totient is φ = 40556344320000.

The previous prime is 115257749242201. The next prime is 115257749242261. The reversal of 115257749242240 is 42242947752511.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

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, 4334451345 + ... + 4334477935.

It is an arithmetic number, because the mean of its divisors is an integer number (1212150847680).

Almost surely, 2^{115257749242240} is an apocalyptic number.

115257749242240 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 115257749242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155155308503040).

115257749242240 is an abundant number, since it is smaller than the sum of its proper divisors (195052867763840).

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

115257749242240 is a wasteful number, since it uses less digits than its factorization.

115257749242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46513 (or 46501 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 55.

The spelling of 115257749242240 in words is "one hundred fifteen trillion, two hundred fifty-seven billion, seven hundred forty-nine million, two hundred forty-two thousand, two hundred forty".