84507971520 has 336 divisors, whose sum is σ = 316527533568. Its totient is φ = 19043297280.

The previous prime is 84507971503. The next prime is 84507971557. The reversal of 84507971520 is 2517970548.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×84507971520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84507971520.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3327189 + ... + 3352491.

Almost surely, 2^84507971520 is an apocalyptic number.

84507971520 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 84507971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158263766784).

84507971520 is an abundant number, since it is smaller than the sum of its proper divisors (232019562048).

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

84507971520 is a wasteful number, since it uses less digits than its factorization.

84507971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25408 (or 25391 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 84507971520 in words is "eighty-four billion, five hundred seven million, nine hundred seventy-one thousand, five hundred twenty".