7988325454200 has 1536 divisors, whose sum is σ = 33028786022400. Its totient is φ = 1550057472000.

The previous prime is 7988325454163. The next prime is 7988325454231. The reversal of 7988325454200 is 24545238897.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12462285880 + ... + 12462286520.

It is an arithmetic number, because the mean of its divisors is an integer number (21503115900).

Almost surely, 2^{7988325454200} is an apocalyptic number.

7988325454200 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 7988325454200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514393011200).

7988325454200 is an abundant number, since it is smaller than the sum of its proper divisors (25040460568200).

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

7988325454200 is a wasteful number, since it uses less digits than its factorization.

7988325454200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

It can be divided in two parts, 798 and 8325454200, that multiplied together give a square (6643712451600 = 2577540²).

The spelling of 7988325454200 in words is "seven trillion, nine hundred eighty-eight billion, three hundred twenty-five million, four hundred fifty-four thousand, two hundred".