870827820226560 has 1152 divisors, whose sum is σ = 3654040260648960. Its totient is φ = 187243063934976.

The previous prime is 870827820226549. The next prime is 870827820226571. The reversal of 870827820226560 is 65622028728078.

870827820226560 is a `hidden beast` number, since 8 + 7 + 0 + 8 + 27 + 8 + 20 + 2 + 26 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (870827820226549) and next prime (870827820226571).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22888193457 + ... + 22888231503.

It is an arithmetic number, because the mean of its divisors is an integer number (3171909948480).

Almost surely, 2^{870827820226560} is an apocalyptic number.

870827820226560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870827820226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827020130324480).

870827820226560 is an abundant number, since it is smaller than the sum of its proper divisors (2783212440422400).

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

870827820226560 is a wasteful number, since it uses less digits than its factorization.

870827820226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40191 (or 40168 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 870827820226560 in words is "eight hundred seventy trillion, eight hundred twenty-seven billion, eight hundred twenty million, two hundred twenty-six thousand, five hundred sixty".