860848128000 has 1216 divisors, whose sum is σ = 3664136985600. Its totient is φ = 195349708800.

The previous prime is 860848127989. The next prime is 860848128029. The reversal of 860848128000 is 821848068.

It is a happy number.

It is a super-2 number, since 2×860848128000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6193151931 + ... + 6193152069.

Almost surely, 2^860848128000 is an apocalyptic number.

860848128000 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 860848128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832068492800).

860848128000 is an abundant number, since it is smaller than the sum of its proper divisors (2803288857600).

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

860848128000 is an frugal number, since it uses more digits than its factorization.

860848128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 860848128000 in words is "eight hundred sixty billion, eight hundred forty-eight million, one hundred twenty-eight thousand".