84099375360 has 2592 divisors, whose sum is σ = 429830634240. Its totient is φ = 15182069760.

The previous prime is 84099375359. The next prime is 84099375379. The reversal of 84099375360 is 6357399048.

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

It is a junction number, because it is equal to n+sod(n) for n = 84099375297 and 84099375306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4947022072 + ... + 4947022088.

It is an arithmetic number, because the mean of its divisors is an integer number (165829720).

Almost surely, 2^84099375360 is an apocalyptic number.

84099375360 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 84099375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214915317120).

84099375360 is an abundant number, since it is smaller than the sum of its proper divisors (345731258880).

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

84099375360 is a wasteful number, since it uses less digits than its factorization.

84099375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 84099375360 in words is "eighty-four billion, ninety-nine million, three hundred seventy-five thousand, three hundred sixty".