115105545434880 has 6912 divisors, whose sum is σ = 580583326482432. Its totient is φ = 21069103104000.

The previous prime is 115105545434879. The next prime is 115105545434911. The reversal of 115105545434880 is 88434545501511.

115105545434880 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 0 + 5 + 54 + 543 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×115105545434880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 906342877377 + ... + 906342877503.

It is an arithmetic number, because the mean of its divisors is an integer number (83996430336).

Almost surely, 2^{115105545434880} is an apocalyptic number.

115105545434880 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 115105545434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290291663241216).

115105545434880 is an abundant number, since it is smaller than the sum of its proper divisors (465477781047552).

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

115105545434880 is a wasteful number, since it uses less digits than its factorization.

115105545434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 54.

The spelling of 115105545434880 in words is "one hundred fifteen trillion, one hundred five billion, five hundred forty-five million, four hundred thirty-four thousand, eight hundred eighty".