115477705728 has 1232 divisors, whose sum is σ = 451053993600. Its totient is φ = 29262643200.

The previous prime is 115477705709. The next prime is 115477705747. The reversal of 115477705728 is 827507774511.

115477705728 is a `hidden beast` number, since 1 + 1 + 547 + 7 + 70 + 5 + 7 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (115477705709) and next prime (115477705747).

It is a tau number, because it is divible by the number of its divisors (1232).

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 111 ways as a sum of consecutive naturals, for example, 2816529388 + ... + 2816529428.

Almost surely, 2^115477705728 is an apocalyptic number.

115477705728 is a gapful number since it is divisible by the number (18) 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 115477705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225526996800).

115477705728 is an abundant number, since it is smaller than the sum of its proper divisors (335576287872).

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

115477705728 is an frugal number, since it uses more digits than its factorization.

115477705728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3841600, while the sum is 54.

The spelling of 115477705728 in words is "one hundred fifteen billion, four hundred seventy-seven million, seven hundred five thousand, seven hundred twenty-eight".