10115891741760 has 1344 divisors, whose sum is σ = 39311458762752. Its totient is φ = 2195413549056.

The previous prime is 10115891741743. The next prime is 10115891741773. The reversal of 10115891741760 is 6714719851101.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13614927949 + ... + 13614928691.

Almost surely, 2^{10115891741760} is an apocalyptic number.

10115891741760 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 10115891741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19655729381376).

10115891741760 is an abundant number, since it is smaller than the sum of its proper divisors (29195567020992).

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

10115891741760 is a wasteful number, since it uses less digits than its factorization.

10115891741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 51.

The spelling of 10115891741760 in words is "ten trillion, one hundred fifteen billion, eight hundred ninety-one million, seven hundred forty-one thousand, seven hundred sixty".