7987591825920 has 1440 divisors, whose sum is σ = 33825649448448. Its totient is φ = 1734689488896.

The previous prime is 7987591825879. The next prime is 7987591825943. The reversal of 7987591825920 is 295281957897.

7987591825920 is a `hidden beast` number, since 7 + 9 + 8 + 7 + 591 + 8 + 2 + 5 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1796173137 + ... + 1796177583.

Almost surely, 2^{7987591825920} is an apocalyptic number.

7987591825920 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 7987591825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912824724224).

7987591825920 is an abundant number, since it is smaller than the sum of its proper divisors (25838057622528).

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

7987591825920 is a wasteful number, since it uses less digits than its factorization.

7987591825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4570 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 72.

The spelling of 7987591825920 in words is "seven trillion, nine hundred eighty-seven billion, five hundred ninety-one million, eight hundred twenty-five thousand, nine hundred twenty".