5165369959680 has 864 divisors, whose sum is σ = 20937610197504. Its totient is φ = 1151283953664.

The previous prime is 5165369959667. The next prime is 5165369959691. The reversal of 5165369959680 is 869599635615.

5165369959680 is a `hidden beast` number, since 5 + 1 + 6 + 536 + 9 + 9 + 5 + 9 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5165369959599 and 5165369959608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 713741022 + ... + 713748258.

It is an arithmetic number, because the mean of its divisors is an integer number (24233345136).

Almost surely, 2^{5165369959680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5165369959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10468805098752).

5165369959680 is an abundant number, since it is smaller than the sum of its proper divisors (15772240237824).

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

5165369959680 is a wasteful number, since it uses less digits than its factorization.

5165369959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7491 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 472392000, while the sum is 72.

The spelling of 5165369959680 in words is "five trillion, one hundred sixty-five billion, three hundred sixty-nine million, nine hundred fifty-nine thousand, six hundred eighty".