7988260257000 has 288 divisors, whose sum is σ = 28037392011720. Its totient is φ = 2130200985600.

The previous prime is 7988260256969. The next prime is 7988260257023. The reversal of 7988260257000 is 7520628897.

It is a happy number.

7988260257000 is a `hidden beast` number, since 7 + 9 + 8 + 8 + 2 + 60 + 2 + 570 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1464046760484 + 6524213496516 = 1209978^2 + 2554254^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5952232 + ... + 7169768.

Almost surely, 2^{7988260257000} 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 7988260257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018696005860).

7988260257000 is an abundant number, since it is smaller than the sum of its proper divisors (20049131754720).

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

7988260257000 is an equidigital number, since it uses as much as digits as its factorization.

7988260257000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217582 (or 1217547 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 7988260257000 in words is "seven trillion, nine hundred eighty-eight billion, two hundred sixty million, two hundred fifty-seven thousand".