84139130880 has 1080 divisors, whose sum is σ = 361874291688. Its totient is φ = 17968398336.

The previous prime is 84139130861. The next prime is 84139130893. The reversal of 84139130880 is 8803193148.

It can be written as a sum of positive squares in 4 ways, for example, as 20295991296 + 63843139584 = 142464^2 + 252672^2 .

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 71 ways as a sum of consecutive naturals, for example, 614154172 + ... + 614154308.

Almost surely, 2^84139130880 is an apocalyptic number.

84139130880 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 84139130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180937145844).

84139130880 is an abundant number, since it is smaller than the sum of its proper divisors (277735160808).

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

84139130880 is a wasteful number, since it uses less digits than its factorization.

84139130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 84139130880 in words is "eighty-four billion, one hundred thirty-nine million, one hundred thirty thousand, eight hundred eighty".