84056938056 has 640 divisors, whose sum is σ = 311398940160. Its totient is φ = 20553523200.

The previous prime is 84056938003. The next prime is 84056938067. The reversal of 84056938056 is 65083965048.

It is a happy number.

84056938056 is a `hidden beast` number, since 8 + 40 + 569 + 38 + 0 + 5 + 6 = 666.

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 = 84056937993 and 84056938011.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71173786 + ... + 71174966.

It is an arithmetic number, because the mean of its divisors is an integer number (486560844).

Almost surely, 2^84056938056 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 84056938056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155699470080).

84056938056 is an abundant number, since it is smaller than the sum of its proper divisors (227342002104).

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

84056938056 is a wasteful number, since it uses less digits than its factorization.

84056938056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 84056938056 in words is "eighty-four billion, fifty-six million, nine hundred thirty-eight thousand, fifty-six".