10115305572960 has 1152 divisors, whose sum is σ = 44139614238720. Its totient is φ = 2053523570688.

The previous prime is 10115305572947. The next prime is 10115305572973. The reversal of 10115305572960 is 6927550351101.

10115305572960 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 5 + 3 + 0 + 557 + 2 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10115305572947) and next prime (10115305572973).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 856280014 + ... + 856291826.

It is an arithmetic number, because the mean of its divisors is an integer number (38315637360).

Almost surely, 2^{10115305572960} is an apocalyptic number.

10115305572960 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 10115305572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22069807119360).

10115305572960 is an abundant number, since it is smaller than the sum of its proper divisors (34024308665760).

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

10115305572960 is a wasteful number, since it uses less digits than its factorization.

10115305572960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12140 (or 12129 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 10115305572960 in words is "ten trillion, one hundred fifteen billion, three hundred five million, five hundred seventy-two thousand, nine hundred sixty".