84008171520 has 1728 divisors, whose sum is σ = 385392440160. Its totient is φ = 17390370816.

The previous prime is 84008171483. The next prime is 84008171539. The reversal of 84008171520 is 2517180048.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×84008171520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1585059814 + ... + 1585059866.

Almost surely, 2^84008171520 is an apocalyptic number.

84008171520 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 84008171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192696220080).

84008171520 is an abundant number, since it is smaller than the sum of its proper divisors (301384268640).

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

84008171520 is a wasteful number, since it uses less digits than its factorization.

84008171520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 84008171520 in words is "eighty-four billion, eight million, one hundred seventy-one thousand, five hundred twenty".