1615313216160 has 1728 divisors, whose sum is σ = 6993935020800. Its totient is φ = 337217126400.

The previous prime is 1615313216137. The next prime is 1615313216201. The reversal of 1615313216160 is 616123135161.

1615313216160 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 3 + 1 + 32 + 1 + 616 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 8117151741 + ... + 8117151939.

It is an arithmetic number, because the mean of its divisors is an integer number (4047416100).

Almost surely, 2^{1615313216160} is an apocalyptic number.

1615313216160 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 1615313216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496967510400).

1615313216160 is an abundant number, since it is smaller than the sum of its proper divisors (5378621804640).

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

1615313216160 is a wasteful number, since it uses less digits than its factorization.

1615313216160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1615313216160 in words is "one trillion, six hundred fifteen billion, three hundred thirteen million, two hundred sixteen thousand, one hundred sixty".