7165087580160 has 1152 divisors, whose sum is σ = 27847492545600. Its totient is φ = 1761205026816.

The previous prime is 7165087580059. The next prime is 7165087580219. The reversal of 7165087580160 is 610857805617.

7165087580160 is a `hidden beast` number, since 7 + 1 + 6 + 50 + 8 + 7 + 580 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7165087580097 and 7165087580106.

It is a congruent number.

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, 193651015662 + ... + 193651015698.

Almost surely, 2^{7165087580160} 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 7165087580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923746272800).

7165087580160 is an abundant number, since it is smaller than the sum of its proper divisors (20682404965440).

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

7165087580160 is an frugal number, since it uses more digits than its factorization.

7165087580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 7165087580160 in words is "seven trillion, one hundred sixty-five billion, eighty-seven million, five hundred eighty thousand, one hundred sixty".