84060259920 has 640 divisors, whose sum is σ = 363126758400. Its totient is φ = 17398996992.

The previous prime is 84060259909. The next prime is 84060259951. The reversal of 84060259920 is 2995206048.

It is a super-2 number, since 2×84060259920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10413646 + ... + 10421714.

It is an arithmetic number, because the mean of its divisors is an integer number (567385560).

Almost surely, 2^84060259920 is an apocalyptic number.

84060259920 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 84060259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181563379200).

84060259920 is an abundant number, since it is smaller than the sum of its proper divisors (279066498480).

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

84060259920 is a wasteful number, since it uses less digits than its factorization.

84060259920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8164 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 84060259920 in words is "eighty-four billion, sixty million, two hundred fifty-nine thousand, nine hundred twenty".