870166851840 has 1440 divisors, whose sum is σ = 3851725046400. Its totient is φ = 184414371840.

The previous prime is 870166851793. The next prime is 870166851907. The reversal of 870166851840 is 48158661078.

It is a happy number.

870166851840 is a `hidden beast` number, since 8 + 70 + 16 + 6 + 8 + 518 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×870166851840² (a number of 25 digits) contains 22 as substring.

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

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, 281697016 + ... + 281700104.

It is an arithmetic number, because the mean of its divisors is an integer number (2674809060).

Almost surely, 2^870166851840 is an apocalyptic number.

870166851840 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 870166851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925862523200).

870166851840 is an abundant number, since it is smaller than the sum of its proper divisors (2981558194560).

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

870166851840 is a wasteful number, since it uses less digits than its factorization.

870166851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 870166851840 in words is "eight hundred seventy billion, one hundred sixty-six million, eight hundred fifty-one thousand, eight hundred forty".