20123179386624 has 432 divisors, whose sum is σ = 61029182966752. Its totient is φ = 6368888881152.

The previous prime is 20123179386623. The next prime is 20123179386637. The reversal of 20123179386624 is 42668397132102.

20123179386624 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 3 + 1 + 7 + 9 + 3 + 8 + 6 + 624 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123179386623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6074003592 + ... + 6074006904.

Almost surely, 2^{20123179386624} is an apocalyptic number.

20123179386624 is a gapful number since it is divisible by the number (24) 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 20123179386624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30514591483376).

20123179386624 is an abundant number, since it is smaller than the sum of its proper divisors (40906003580128).

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

20123179386624 is a wasteful number, since it uses less digits than its factorization.

20123179386624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5055 counting only the distinct ones).

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

The spelling of 20123179386624 in words is "twenty trillion, one hundred twenty-three billion, one hundred seventy-nine million, three hundred eighty-six thousand, six hundred twenty-four".