10115075880 has 960 divisors, whose sum is σ = 44320122000. Its totient is φ = 2060577792.

The previous prime is 10115075879. The next prime is 10115075921. The reversal of 10115075880 is 8857051101.

It is a happy number.

10115075880 is a `hidden beast` number, since 10 + 11 + 50 + 7 + 588 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 628705476 + 9486370404 = 25074^2 + 97398^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 348795706 + ... + 348795734.

Almost surely, 2^10115075880 is an apocalyptic number.

10115075880 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 10115075880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22160061000).

10115075880 is an abundant number, since it is smaller than the sum of its proper divisors (34205046120).

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

10115075880 is a wasteful number, since it uses less digits than its factorization.

10115075880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 36.

It can be divided in two parts, 1011 and 5075880, that added together give a triangular number (5076891 = T₃₁₈₆).

The spelling of 10115075880 in words is "ten billion, one hundred fifteen million, seventy-five thousand, eight hundred eighty".