20124874828800 has 3960 divisors, whose sum is σ = 93778911122688. Its totient is φ = 4236115968000.

The previous prime is 20124874828789. The next prime is 20124874828811. The reversal of 20124874828800 is 882847842102.

20124874828800 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 4 + 87 + 482 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20124874828789) and next prime (20124874828811).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 105365836705 + ... + 105365836895.

Almost surely, 2^{20124874828800} is an apocalyptic number.

20124874828800 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 20124874828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46889455561344).

20124874828800 is an abundant number, since it is smaller than the sum of its proper divisors (73654036293888).

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

20124874828800 is a wasteful number, since it uses less digits than its factorization.

20124874828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 20124874828800 in words is "twenty trillion, one hundred twenty-four billion, eight hundred seventy-four million, eight hundred twenty-eight thousand, eight hundred".