8007497880000 has 560 divisors, whose sum is σ = 26688127065600. Its totient is φ = 2118200832000.

The previous prime is 8007497879971. The next prime is 8007497880073. The reversal of 8007497880000 is 887947008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11014439637 + ... + 11014440363.

It is an arithmetic number, because the mean of its divisors is an integer number (47657369760).

Almost surely, 2^{8007497880000} is an apocalyptic number.

8007497880000 is a gapful number since it is divisible by the number (80) 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 8007497880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344063532800).

8007497880000 is an abundant number, since it is smaller than the sum of its proper divisors (18680629185600).

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

8007497880000 is a wasteful number, since it uses less digits than its factorization.

8007497880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 8007497880000 in words is "eight trillion, seven billion, four hundred ninety-seven million, eight hundred eighty thousand".