84059295048 has 256 divisors, whose sum is σ = 241705728000. Its totient is φ = 27057888000.

The previous prime is 84059295017. The next prime is 84059295101.

It is a happy number.

84059295048 is a `hidden beast` number, since 8 + 4 + 0 + 592 + 9 + 5 + 0 + 48 = 666.

84059295048 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 84059294985 and 84059295003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191478813 + ... + 191479251.

It is an arithmetic number, because the mean of its divisors is an integer number (944163000).

Almost surely, 2^84059295048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84059295048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120852864000).

84059295048 is an abundant number, since it is smaller than the sum of its proper divisors (157646432952).

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

84059295048 is a wasteful number, since it uses less digits than its factorization.

84059295048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 84059295048 in words is "eighty-four billion, fifty-nine million, two hundred ninety-five thousand, forty-eight".