861876284880 has 320 divisors, whose sum is σ = 2925812736000. Its totient is φ = 208610131968.

The previous prime is 861876284879. The next prime is 861876284887. The reversal of 861876284880 is 88482678168.

861876284880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×861876284880² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861876284887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44765496 + ... + 44784744.

It is an arithmetic number, because the mean of its divisors is an integer number (9143164800).

Almost surely, 2^861876284880 is an apocalyptic number.

861876284880 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 861876284880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462906368000).

861876284880 is an abundant number, since it is smaller than the sum of its proper divisors (2063936451120).

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

861876284880 is a wasteful number, since it uses less digits than its factorization.

861876284880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19518 (or 19512 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 66.

The spelling of 861876284880 in words is "eight hundred sixty-one billion, eight hundred seventy-six million, two hundred eighty-four thousand, eight hundred eighty".