84540905280 has 784 divisors, whose sum is σ = 331100881104. Its totient is φ = 20424130560.

The previous prime is 84540905279. The next prime is 84540905291. The reversal of 84540905280 is 8250904548.

84540905280 is a `hidden beast` number, since 84 + 5 + 40 + 9 + 0 + 528 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10704799296 + 73836105984 = 103464^2 + 271728^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 184990812 + ... + 184991268.

Almost surely, 2^84540905280 is an apocalyptic number.

84540905280 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 84540905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165550440552).

84540905280 is an abundant number, since it is smaller than the sum of its proper divisors (246559975824).

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

84540905280 is a wasteful number, since it uses less digits than its factorization.

84540905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 84540905280 in words is "eighty-four billion, five hundred forty million, nine hundred five thousand, two hundred eighty".