7916590080000 has 2240 divisors, whose sum is σ = 34245890807040. Its totient is φ = 1791590400000.

The previous prime is 7916590079977. The next prime is 7916590080011. The reversal of 7916590080000 is 800956197.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 78382079950 + ... + 78382080050.

Almost surely, 2^{7916590080000} is an apocalyptic number.

7916590080000 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 7916590080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122945403520).

7916590080000 is an abundant number, since it is smaller than the sum of its proper divisors (26329300727040).

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

7916590080000 is an frugal number, since it uses more digits than its factorization.

7916590080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 7916590080000 in words is "seven trillion, nine hundred sixteen billion, five hundred ninety million, eighty thousand".