10115891460 has 216 divisors, whose sum is σ = 33183475416. Its totient is φ = 2492605440.

The previous prime is 10115891459. The next prime is 10115891483. The reversal of 10115891460 is 6419851101.

It is a happy number.

10115891460 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 589 + 14 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 858372804 + 9257518656 = 29298^2 + 96216^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2662282 + ... + 2666078.

It is an arithmetic number, because the mean of its divisors is an integer number (153627201).

Almost surely, 2^10115891460 is an apocalyptic number.

10115891460 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 10115891460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16591737708).

10115891460 is an abundant number, since it is smaller than the sum of its proper divisors (23067583956).

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

10115891460 is a wasteful number, since it uses less digits than its factorization.

10115891460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 10115891460 in words is "ten billion, one hundred fifteen million, eight hundred ninety-one thousand, four hundred sixty".