84971890080 has 672 divisors, whose sum is σ = 375289262208. Its totient is φ = 17654630400.

The previous prime is 84971890033. The next prime is 84971890141. The reversal of 84971890080 is 8009817948.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 84971889999 and 84971890026.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8976550 + ... + 8986010.

It is an arithmetic number, because the mean of its divisors is an integer number (558466164).

Almost surely, 2^84971890080 is an apocalyptic number.

84971890080 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 84971890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187644631104).

84971890080 is an abundant number, since it is smaller than the sum of its proper divisors (290317372128).

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

84971890080 is a wasteful number, since it uses less digits than its factorization.

84971890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9512 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 84971890080 in words is "eighty-four billion, nine hundred seventy-one million, eight hundred ninety thousand, eighty".