123628135680 has 720 divisors, whose sum is σ = 508363599744. Its totient is φ = 28217548800.

The previous prime is 123628135667. The next prime is 123628135717. The reversal of 123628135680 is 86531826321.

123628135680 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 2 + 81 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176359330 + ... + 176360030.

Almost surely, 2^123628135680 is an apocalyptic number.

123628135680 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 123628135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254181799872).

123628135680 is an abundant number, since it is smaller than the sum of its proper divisors (384735464064).

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

123628135680 is an frugal number, since it uses more digits than its factorization.

123628135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 123628135680 in words is "one hundred twenty-three billion, six hundred twenty-eight million, one hundred thirty-five thousand, six hundred eighty".