84138275760 has 640 divisors, whose sum is σ = 336911007744. Its totient is φ = 16864174080.

The previous prime is 84138275657. The next prime is 84138275773. The reversal of 84138275760 is 6757283148.

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, 63404217 + ... + 63405543.

Almost surely, 2^84138275760 is an apocalyptic number.

84138275760 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 84138275760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168455503872).

84138275760 is an abundant number, since it is smaller than the sum of its proper divisors (252772731984).

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

84138275760 is a wasteful number, since it uses less digits than its factorization.

84138275760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 84138275760 in words is "eighty-four billion, one hundred thirty-eight million, two hundred seventy-five thousand, seven hundred sixty".