123576663420 has 288 divisors, whose sum is σ = 447265728000. Its totient is φ = 28055372544.

The previous prime is 123576663409. The next prime is 123576663433. The reversal of 123576663420 is 24366675321.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5056791 + ... + 5081169.

It is an arithmetic number, because the mean of its divisors is an integer number (1553006000).

Almost surely, 2^123576663420 is an apocalyptic number.

123576663420 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 123576663420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223632864000).

123576663420 is an abundant number, since it is smaller than the sum of its proper divisors (323689064580).

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

123576663420 is a wasteful number, since it uses less digits than its factorization.

123576663420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24559 (or 24545 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 123576663420 in words is "one hundred twenty-three billion, five hundred seventy-six million, six hundred sixty-three thousand, four hundred twenty".