84206260907136 has 256 divisors, whose sum is σ = 249593785228800. Its totient is φ = 27948332482560.

The previous prime is 84206260907063. The next prime is 84206260907137. The reversal of 84206260907136 is 63170906260248.

84206260907136 is a `hidden beast` number, since 8 + 4 + 2 + 0 + 626 + 0 + 9 + 0 + 7 + 1 + 3 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (84206260907137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 812961846 + ... + 813065418.

It is an arithmetic number, because the mean of its divisors is an integer number (974975723550).

Almost surely, 2^{84206260907136} 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 84206260907136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124796892614400).

84206260907136 is an abundant number, since it is smaller than the sum of its proper divisors (165387524321664).

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

84206260907136 is a wasteful number, since it uses less digits than its factorization.

84206260907136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104604 (or 104586 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 84206260907136 in words is "eighty-four trillion, two hundred six billion, two hundred sixty million, nine hundred seven thousand, one hundred thirty-six".