123367587840 has 800 divisors, whose sum is σ = 511570382400. Its totient is φ = 27858567168.

The previous prime is 123367587829. The next prime is 123367587869. The reversal of 123367587840 is 48785763321.

It is a happy number.

123367587840 is a `hidden beast` number, since 1 + 23 + 36 + 7 + 587 + 8 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1486356439 + ... + 1486356521.

It is an arithmetic number, because the mean of its divisors is an integer number (639462978).

Almost surely, 2^123367587840 is an apocalyptic number.

123367587840 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 123367587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255785191200).

123367587840 is an abundant number, since it is smaller than the sum of its proper divisors (388202794560).

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

123367587840 is an frugal number, since it uses more digits than its factorization.

123367587840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 123367587840 in words is "one hundred twenty-three billion, three hundred sixty-seven million, five hundred eighty-seven thousand, eight hundred forty".