115771829040 has 480 divisors, whose sum is σ = 485063953920. Its totient is φ = 25068828672.

The previous prime is 115771829029. The next prime is 115771829083. The reversal of 115771829040 is 40928177511.

It is a happy number.

115771829040 is a `hidden beast` number, since 1 + 1 + 577 + 18 + 29 + 0 + 40 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2563132 + ... + 2607908.

It is an arithmetic number, because the mean of its divisors is an integer number (1010549904).

Almost surely, 2^115771829040 is an apocalyptic number.

115771829040 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 115771829040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242531976960).

115771829040 is an abundant number, since it is smaller than the sum of its proper divisors (369292124880).

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

115771829040 is a wasteful number, since it uses less digits than its factorization.

115771829040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44831 (or 44813 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 115771829040 in words is "one hundred fifteen billion, seven hundred seventy-one million, eight hundred twenty-nine thousand, forty".