123553654560 has 480 divisors, whose sum is σ = 514420042752. Its totient is φ = 27329218560.

The previous prime is 123553654559. The next prime is 123553654577. The reversal of 123553654560 is 65456355321.

123553654560 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 5 + 36 + 54 + 560 = 666.

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 (45).

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, 2790354 + ... + 2834286.

Almost surely, 2^123553654560 is an apocalyptic number.

123553654560 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 123553654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257210021376).

123553654560 is an abundant number, since it is smaller than the sum of its proper divisors (390866388192).

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

123553654560 is a wasteful number, since it uses less digits than its factorization.

123553654560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43998 (or 43981 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 123553654560 in words is "one hundred twenty-three billion, five hundred fifty-three million, six hundred fifty-four thousand, five hundred sixty".