84500161920 has 768 divisors, whose sum is σ = 322269554880. Its totient is φ = 20313538560.

The previous prime is 84500161861. The next prime is 84500161927. The reversal of 84500161920 is 2916100548.

84500161920 is a `hidden beast` number, since 8 + 4 + 500 + 1 + 61 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84500161927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300712180 + ... + 300712460.

Almost surely, 2^84500161920 is an apocalyptic number.

84500161920 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 84500161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161134777440).

84500161920 is an abundant number, since it is smaller than the sum of its proper divisors (237769392960).

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

84500161920 is a wasteful number, since it uses less digits than its factorization.

84500161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 84500161920 in words is "eighty-four billion, five hundred million, one hundred sixty-one thousand, nine hundred twenty".