7166915327520 has 2304 divisors, whose sum is σ = 30197292023808. Its totient is φ = 1529561088000.

The previous prime is 7166915327489. The next prime is 7166915327531. The reversal of 7166915327520 is 257235196617.

It is a happy number.

7166915327520 is a `hidden beast` number, since 7 + 1 + 6 + 6 + 91 + 5 + 3 + 27 + 520 = 666.

It is a super-2 number, since 2×7166915327520² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28553447395 + ... + 28553447645.

It is an arithmetic number, because the mean of its divisors is an integer number (13106463552).

Almost surely, 2^{7166915327520} 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 7166915327520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15098646011904).

7166915327520 is an abundant number, since it is smaller than the sum of its proper divisors (23030376696288).

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

7166915327520 is a wasteful number, since it uses less digits than its factorization.

7166915327520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 7166915327520 in words is "seven trillion, one hundred sixty-six billion, nine hundred fifteen million, three hundred twenty-seven thousand, five hundred twenty".