7988189932800 has 2592 divisors, whose sum is σ = 37849391483904. Its totient is φ = 1618403328000.

The previous prime is 7988189932787. The next prime is 7988189932813. The reversal of 7988189932800 is 82399818897.

7988189932800 is a `hidden beast` number, since 7 + 9 + 88 + 189 + 93 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7988189932787) and next prime (7988189932813).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×7988189932800² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4909765587 + ... + 4909767213.

Almost surely, 2^{7988189932800} is an apocalyptic number.

7988189932800 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 7988189932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18924695741952).

7988189932800 is an abundant number, since it is smaller than the sum of its proper divisors (29861201551104).

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

7988189932800 is a wasteful number, since it uses less digits than its factorization.

7988189932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 7988189932800 in words is "seven trillion, nine hundred eighty-eight billion, one hundred eighty-nine million, nine hundred thirty-two thousand, eight hundred".