5160166560000 has 675 divisors, whose sum is σ = 19257718356723. Its totient is φ = 1373863680000.

The previous prime is 5160166559993. The next prime is 5160166560019. The reversal of 5160166560000 is 656610615.

The square root of 5160166560000 is 2271600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 404557058304 + 4755609501696 = 636048^2 + 2180736^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 8177759685 + ... + 8177760315.

Almost surely, 2^{5160166560000} is an apocalyptic number.

5160166560000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5160166560000 is the 2271600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5160166560000

5160166560000 is an abundant number, since it is smaller than the sum of its proper divisors (14097551796723).

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

5160166560000 is an frugal number, since it uses more digits than its factorization.

5160166560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 5160166560000 by its sum of digits (36), we get a square (185765996160000 = 13629600²).

5160166560000 divided by its sum of digits (36) gives a square (143337960000 = 378600²).

5160166560000 divided by its product of nonzero digits (32400) gives a square (159264400 = 12620²).

The spelling of 5160166560000 in words is "five trillion, one hundred sixty billion, one hundred sixty-six million, five hundred sixty thousand".