20124248983920 has 240 divisors, whose sum is σ = 70091643847680. Its totient is φ = 5366114272512.

The previous prime is 20124248983871. The next prime is 20124248983939. The reversal of 20124248983920 is 2938984242102.

20124248983920 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 4 + 248 + 9 + 8 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448788861 + ... + 448833699.

It is an arithmetic number, because the mean of its divisors is an integer number (292048516032).

Almost surely, 2^{20124248983920} is an apocalyptic number.

20124248983920 is a gapful number since it is divisible by the number (20) 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 20124248983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35045821923840).

20124248983920 is an abundant number, since it is smaller than the sum of its proper divisors (49967394863760).

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

20124248983920 is a wasteful number, since it uses less digits than its factorization.

20124248983920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67954 (or 67936 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 20124248983920 in words is "twenty trillion, one hundred twenty-four billion, two hundred forty-eight million, nine hundred eighty-three thousand, nine hundred twenty".