811968356070 has 96 divisors (see below), whose sum is σ = 2187117223200. Its totient is φ = 208751972352.

The previous prime is 811968356051. The next prime is 811968356083. The reversal of 811968356070 is 70653869118.

811968356070 is a `hidden beast` number, since 8 + 1 + 1 + 9 + 6 + 8 + 3 + 560 + 70 = 666.

It is a super-2 number, since 2×811968356070² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 811968355998 and 811968356016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1554886 + ... + 2010374.

It is an arithmetic number, because the mean of its divisors is an integer number (22782471075).

Almost surely, 2^811968356070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811968356070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093558611600).

811968356070 is an abundant number, since it is smaller than the sum of its proper divisors (1375148867130).

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

811968356070 is a wasteful number, since it uses less digits than its factorization.

811968356070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456214 (or 456211 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 811968356070 in words is "eight hundred eleven billion, nine hundred sixty-eight million, three hundred fifty-six thousand, seventy".