115822404756240 has 2560 divisors, whose sum is σ = 492545243086848. Its totient is φ = 21821571072000.

The previous prime is 115822404756221. The next prime is 115822404756241. The reversal of 115822404756240 is 42657404228511.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (115822404756241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 221457752619 + ... + 221457753141.

Almost surely, 2^{115822404756240} is an apocalyptic number.

115822404756240 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 115822404756240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246272621543424).

115822404756240 is an abundant number, since it is smaller than the sum of its proper divisors (376722838330608).

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

115822404756240 is a wasteful number, since it uses less digits than its factorization.

115822404756240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 115822404756240 in words is "one hundred fifteen trillion, eight hundred twenty-two billion, four hundred four million, seven hundred fifty-six thousand, two hundred forty".