83480531904 has 896 divisors, whose sum is σ = 324974346240. Its totient is φ = 20379340800.

The previous prime is 83480531861. The next prime is 83480531929. The reversal of 83480531904 is 40913508438.

83480531904 is a `hidden beast` number, since 8 + 34 + 80 + 531 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 83480531904.

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, 152614959 + ... + 152615505.

Almost surely, 2^83480531904 is an apocalyptic number.

83480531904 is a gapful number since it is divisible by the number (84) 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 83480531904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162487173120).

83480531904 is an abundant number, since it is smaller than the sum of its proper divisors (241493814336).

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

83480531904 is a wasteful number, since it uses less digits than its factorization.

83480531904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 83480531904 in words is "eighty-three billion, four hundred eighty million, five hundred thirty-one thousand, nine hundred four".