863551083360 has 768 divisors, whose sum is σ = 3304727838720. Its totient is φ = 185406382080.

The previous prime is 863551083349. The next prime is 863551083407. The reversal of 863551083360 is 63380155368.

863551083360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 510070674 + ... + 510072366.

It is an arithmetic number, because the mean of its divisors is an integer number (4303031040).

Almost surely, 2^863551083360 is an apocalyptic number.

863551083360 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 863551083360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652363919360).

863551083360 is an abundant number, since it is smaller than the sum of its proper divisors (2441176755360).

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

863551083360 is a wasteful number, since it uses less digits than its factorization.

863551083360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 863551083360 in words is "eight hundred sixty-three billion, five hundred fifty-one million, eighty-three thousand, three hundred sixty".