123160551840 has 480 divisors, whose sum is σ = 452178308736. Its totient is φ = 31544432640.

The previous prime is 123160551769. The next prime is 123160551911. The reversal of 123160551840 is 48155061321.

123160551840 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 60 + 551 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (123160551769) and next prime (123160551911).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123160551795 and 123160551804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33992269 + ... + 33995891.

Almost surely, 2^123160551840 is an apocalyptic number.

123160551840 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 123160551840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226089154368).

123160551840 is an abundant number, since it is smaller than the sum of its proper divisors (329017756896).

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

123160551840 is a wasteful number, since it uses less digits than its factorization.

123160551840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 123160551840 in words is "one hundred twenty-three billion, one hundred sixty million, five hundred fifty-one thousand, eight hundred forty".