123089863680 has 704 divisors, whose sum is σ = 504265512960. Its totient is φ = 27891302400.

The previous prime is 123089863679. The next prime is 123089863693. The reversal of 123089863680 is 86368980321.

It is a happy number.

123089863680 is a `hidden beast` number, since 123 + 0 + 89 + 86 + 368 + 0 = 666.

It is a super-2 number, since 2×123089863680² (a number of 23 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126765595 + ... + 126766565.

It is an arithmetic number, because the mean of its divisors is an integer number (716286240).

Almost surely, 2^123089863680 is an apocalyptic number.

123089863680 is a gapful number since it is divisible by the number (10) 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 123089863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252132756480).

123089863680 is an abundant number, since it is smaller than the sum of its proper divisors (381175649280).

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

123089863680 is a wasteful number, since it uses less digits than its factorization.

123089863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 123089863680 in words is "one hundred twenty-three billion, eighty-nine million, eight hundred sixty-three thousand, six hundred eighty".