84809557440 has 224 divisors, whose sum is σ = 299577922560. Its totient is φ = 22586508288.

The previous prime is 84809557421. The next prime is 84809557463. The reversal of 84809557440 is 4475590848.

It is a happy number.

84809557440 is a `hidden beast` number, since 8 + 4 + 80 + 9 + 557 + 4 + 4 + 0 = 666.

It is a super-5 number, since 5×84809557440⁵ (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7104757 + ... + 7116683.

It is an arithmetic number, because the mean of its divisors is an integer number (1337401440).

Almost surely, 2^84809557440 is an apocalyptic number.

84809557440 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 84809557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149788961280).

84809557440 is an abundant number, since it is smaller than the sum of its proper divisors (214768365120).

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

84809557440 is a wasteful number, since it uses less digits than its factorization.

84809557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12776 (or 12760 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 84809557440 in words is "eighty-four billion, eight hundred nine million, five hundred fifty-seven thousand, four hundred forty".