84251887680 has 224 divisors, whose sum is σ = 269894304000. Its totient is φ = 22267035648.

The previous prime is 84251887679. The next prime is 84251887691. The reversal of 84251887680 is 8678815248.

It is a self number, because there is not a number n which added to its sum of digits gives 84251887680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59794816 + ... + 59796224.

Almost surely, 2^84251887680 is an apocalyptic number.

84251887680 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 84251887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134947152000).

84251887680 is an abundant number, since it is smaller than the sum of its proper divisors (185642416320).

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

84251887680 is a wasteful number, since it uses less digits than its factorization.

84251887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 57.

The spelling of 84251887680 in words is "eighty-four billion, two hundred fifty-one million, eight hundred eighty-seven thousand, six hundred eighty".