84188002080 has 384 divisors, whose sum is σ = 328131772416. Its totient is φ = 17667993600.

The previous prime is 84188002061. The next prime is 84188002099. The reversal of 84188002080 is 8020088148.

It is an interprime number because it is at equal distance from previous prime (84188002061) and next prime (84188002099).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 8337835 + ... + 8347925.

It is an arithmetic number, because the mean of its divisors is an integer number (854509824).

Almost surely, 2^84188002080 is an apocalyptic number.

84188002080 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 84188002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164065886208).

84188002080 is an abundant number, since it is smaller than the sum of its proper divisors (243943770336).

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

84188002080 is a wasteful number, since it uses less digits than its factorization.

84188002080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10320 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The spelling of 84188002080 in words is "eighty-four billion, one hundred eighty-eight million, two thousand, eighty".