870838361526672 has 960 divisors, whose sum is σ = 3393760656844800. Its totient is φ = 210773985408000.

The previous prime is 870838361526671. The next prime is 870838361526689. The reversal of 870838361526672 is 276625163838078.

870838361526672 is a `hidden beast` number, since 8 + 7 + 0 + 8 + 3 + 8 + 36 + 1 + 526 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 870838361526672.

It is not an unprimeable number, because it can be changed into a prime (870838361526671) 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 191 ways as a sum of consecutive naturals, for example, 268257397 + ... + 271484267.

It is an arithmetic number, because the mean of its divisors is an integer number (3535167350880).

Almost surely, 2^{870838361526672} 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 870838361526672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696880328422400).

870838361526672 is an abundant number, since it is smaller than the sum of its proper divisors (2522922295318128).

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

870838361526672 is a wasteful number, since it uses less digits than its factorization.

870838361526672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226993 (or 3226974 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 870838361526672 in words is "eight hundred seventy trillion, eight hundred thirty-eight billion, three hundred sixty-one million, five hundred twenty-six thousand, six hundred seventy-two".