870490575360 has 1920 divisors, whose sum is σ = 3910249728000. Its totient is φ = 179294404608.

The previous prime is 870490575313. The next prime is 870490575401. The reversal of 870490575360 is 63575094078.

870490575360 is a `hidden beast` number, since 8 + 7 + 0 + 4 + 9 + 0 + 575 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 870490575297 and 870490575306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4863075751 + ... + 4863075929.

It is an arithmetic number, because the mean of its divisors is an integer number (2036588400).

Almost surely, 2^870490575360 is an apocalyptic number.

870490575360 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 870490575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955124864000).

870490575360 is an abundant number, since it is smaller than the sum of its proper divisors (3039759152640).

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

870490575360 is a wasteful number, since it uses less digits than its factorization.

870490575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

It can be divided in two parts, 870490 and 575360, that added together give a triangular number (1445850 = T₁₇₀₀).

The spelling of 870490575360 in words is "eight hundred seventy billion, four hundred ninety million, five hundred seventy-five thousand, three hundred sixty".