115053677760 has 672 divisors, whose sum is σ = 441784240128. Its totient is φ = 25268060160.

The previous prime is 115053677759. The next prime is 115053677773. The reversal of 115053677760 is 67776350511.

115053677760 = T₂₇₂₂₄ + T₂₇₂₂₅ + ... + T₂₇₅₃₀.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×115053677760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 374767527 + ... + 374767833.

It is an arithmetic number, because the mean of its divisors is an integer number (657417024).

Almost surely, 2^115053677760 is an apocalyptic number.

115053677760 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 115053677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220892120064).

115053677760 is an abundant number, since it is smaller than the sum of its proper divisors (326730562368).

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

115053677760 is a wasteful number, since it uses less digits than its factorization.

115053677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 48.

The spelling of 115053677760 in words is "one hundred fifteen billion, fifty-three million, six hundred seventy-seven thousand, seven hundred sixty".