84157993920 has 672 divisors, whose sum is σ = 365195851776. Its totient is φ = 16140902400.

The previous prime is 84157993873. The next prime is 84157993921. The reversal of 84157993920 is 2939975148.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84157993921) 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, 6720465 + ... + 6732975.

It is an arithmetic number, because the mean of its divisors is an integer number (543446208).

Almost surely, 2^84157993920 is an apocalyptic number.

84157993920 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 84157993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182597925888).

84157993920 is an abundant number, since it is smaller than the sum of its proper divisors (281037857856).

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

84157993920 is a wasteful number, since it uses less digits than its factorization.

84157993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12569 (or 12552 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 84157993920 in words is "eighty-four billion, one hundred fifty-seven million, nine hundred ninety-three thousand, nine hundred twenty".