10115430867360 has 864 divisors, whose sum is σ = 44845186643712. Its totient is φ = 2134239528960.

The previous prime is 10115430867349. The next prime is 10115430867371. The reversal of 10115430867360 is 6376803451101.

10115430867360 is a `hidden beast` number, since 1 + 0 + 1 + 15 + 430 + 86 + 73 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10115430867349) and next prime (10115430867371).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24562345 + ... + 24970775.

It is an arithmetic number, because the mean of its divisors is an integer number (51904151208).

Almost surely, 2^{10115430867360} is an apocalyptic number.

10115430867360 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 10115430867360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22422593321856).

10115430867360 is an abundant number, since it is smaller than the sum of its proper divisors (34729755776352).

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

10115430867360 is a wasteful number, since it uses less digits than its factorization.

10115430867360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408488 (or 408461 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10115430867360 in words is "ten trillion, one hundred fifteen billion, four hundred thirty million, eight hundred sixty-seven thousand, three hundred sixty".