115577554400 has 648 divisors, whose sum is σ = 367908483600. Its totient is φ = 35413593600.

The previous prime is 115577554397. The next prime is 115577554457. The reversal of 115577554400 is 4455775511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 10.

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 107 ways as a sum of consecutive naturals, for example, 1958941571 + ... + 1958941629.

Almost surely, 2^115577554400 is an apocalyptic number.

115577554400 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 115577554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183954241800).

115577554400 is an abundant number, since it is smaller than the sum of its proper divisors (252330929200).

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

115577554400 is an equidigital number, since it uses as much as digits as its factorization.

115577554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 44.

The spelling of 115577554400 in words is "one hundred fifteen billion, five hundred seventy-seven million, five hundred fifty-four thousand, four hundred".