7215517532160 has 2280 divisors, whose sum is σ = 32110146058320. Its totient is φ = 1541054398464.

The previous prime is 7215517532123. The next prime is 7215517532161. The reversal of 7215517532160 is 612357155127.

7215517532160 is a `hidden beast` number, since 7 + 2 + 1 + 5 + 51 + 7 + 532 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7215517532161) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 98842705884 + ... + 98842705956.

It is an arithmetic number, because the mean of its divisors is an integer number (14083397394).

Almost surely, 2^{7215517532160} is an apocalyptic number.

7215517532160 is a gapful number since it is divisible by the number (70) 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 7215517532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16055073029160).

7215517532160 is an abundant number, since it is smaller than the sum of its proper divisors (24894628526160).

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

7215517532160 is an frugal number, since it uses more digits than its factorization.

7215517532160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 7215517532160 in words is "seven trillion, two hundred fifteen billion, five hundred seventeen million, five hundred thirty-two thousand, one hundred sixty".