115382851920 has 960 divisors, whose sum is σ = 490881081600. Its totient is φ = 24768737280.

The previous prime is 115382851907. The next prime is 115382851933. The reversal of 115382851920 is 29158283511.

115382851920 is a `hidden beast` number, since 1 + 1 + 5 + 382 + 85 + 192 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115382851907) and next prime (115382851933).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 363983602 + ... + 363983918.

It is an arithmetic number, because the mean of its divisors is an integer number (511334460).

Almost surely, 2^115382851920 is an apocalyptic number.

115382851920 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 115382851920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245440540800).

115382851920 is an abundant number, since it is smaller than the sum of its proper divisors (375498229680).

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

115382851920 is a wasteful number, since it uses less digits than its factorization.

115382851920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 115382851920 in words is "one hundred fifteen billion, three hundred eighty-two million, eight hundred fifty-one thousand, nine hundred twenty".