123672486960 has 160 divisors (see below), whose sum is σ = 464708828160. Its totient is φ = 29981203200.

The previous prime is 123672486911. The next prime is 123672487031. The reversal of 123672486960 is 69684276321.

123672486960 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 72 + 486 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 123672486897 and 123672486906.

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 31 ways as a sum of consecutive naturals, for example, 2578776 + ... + 2626295.

It is an arithmetic number, because the mean of its divisors is an integer number (2904430176).

Almost surely, 2^123672486960 is an apocalyptic number.

123672486960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123672486960 is an abundant number, since it is smaller than the sum of its proper divisors (341036341200).

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

123672486960 is a wasteful number, since it uses less digits than its factorization.

123672486960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205104 (or 5205092 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

It can be divided in two parts, 1236 and 72486960, that added together give a square (72488196 = 8514²).

The spelling of 123672486960 in words is "one hundred twenty-three billion, six hundred seventy-two million, four hundred eighty-six thousand, nine hundred sixty".