7201096133616 has 480 divisors, whose sum is σ = 27610898860800. Its totient is φ = 1771970618880.

The previous prime is 7201096133573. The next prime is 7201096133653. The reversal of 7201096133616 is 6163316901027.

It is a happy number.

7201096133616 is a `hidden beast` number, since 7 + 2 + 0 + 10 + 9 + 6 + 13 + 3 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3610266 + ... + 5237958.

It is an arithmetic number, because the mean of its divisors is an integer number (57522705960).

Almost surely, 2^{7201096133616} is an apocalyptic number.

7201096133616 is a gapful number since it is divisible by the number (76) 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 7201096133616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13805449430400).

7201096133616 is an abundant number, since it is smaller than the sum of its proper divisors (20409802727184).

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

7201096133616 is a wasteful number, since it uses less digits than its factorization.

7201096133616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627754 (or 1627735 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 7201096133616 in words is "seven trillion, two hundred one billion, ninety-six million, one hundred thirty-three thousand, six hundred sixteen".