5160361742700 has 144 divisors (see below), whose sum is σ = 15214495022496. Its totient is φ = 1349942630400.

The previous prime is 5160361742671. The next prime is 5160361742717. The reversal of 5160361742700 is 72471630615.

It is a happy number.

It is a super-3 number, since 3×5160361742700³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140235504 + ... + 140272296.

It is an arithmetic number, because the mean of its divisors is an integer number (105656215434).

Almost surely, 2^{5160361742700} is an apocalyptic number.

5160361742700 is a gapful number since it is divisible by the number (50) 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 5160361742700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607247511248).

5160361742700 is an abundant number, since it is smaller than the sum of its proper divisors (10054133279796).

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

5160361742700 is a wasteful number, since it uses less digits than its factorization.

5160361742700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45684 (or 45677 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 5160361742700 in words is "five trillion, one hundred sixty billion, three hundred sixty-one million, seven hundred forty-two thousand, seven hundred".