84181489920 has 576 divisors, whose sum is σ = 330127257600. Its totient is φ = 20142120960.

The previous prime is 84181489907. The next prime is 84181489949. The reversal of 84181489920 is 2998418148.

It is a happy number.

84181489920 is a `hidden beast` number, since 84 + 1 + 81 + 489 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30031239 + ... + 30034041.

It is an arithmetic number, because the mean of its divisors is an integer number (573137600).

Almost surely, 2^84181489920 is an apocalyptic number.

84181489920 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 84181489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165063628800).

84181489920 is an abundant number, since it is smaller than the sum of its proper divisors (245945767680).

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

84181489920 is a wasteful number, since it uses less digits than its factorization.

84181489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 84181489920 in words is "eighty-four billion, one hundred eighty-one million, four hundred eighty-nine thousand, nine hundred twenty".