10116665349120 has 1584 divisors, whose sum is σ = 41111363704320. Its totient is φ = 2276189798400.

The previous prime is 10116665349073. The next prime is 10116665349169. The reversal of 10116665349120 is 2194356661101.

It is a tau number, because it is divible by the number of its divisors (1584).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67897082806 + ... + 67897082954.

Almost surely, 2^{10116665349120} is an apocalyptic number.

10116665349120 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 10116665349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20555681852160).

10116665349120 is an abundant number, since it is smaller than the sum of its proper divisors (30994698355200).

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

10116665349120 is a wasteful number, since it uses less digits than its factorization.

10116665349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10116665349120 in words is "ten trillion, one hundred sixteen billion, six hundred sixty-five million, three hundred forty-nine thousand, one hundred twenty".