20627104985424 has 800 divisors, whose sum is σ = 74576169676800. Its totient is φ = 5370504975360.

The previous prime is 20627104985419. The next prime is 20627104985483. The reversal of 20627104985424 is 42458940172602.

20627104985424 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 7 + 1 + 0 + 4 + 98 + 542 + 4 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1354632499 + ... + 1354647725.

It is an arithmetic number, because the mean of its divisors is an integer number (93220212096).

Almost surely, 2^{20627104985424} is an apocalyptic number.

20627104985424 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 20627104985424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37288084838400).

20627104985424 is an abundant number, since it is smaller than the sum of its proper divisors (53949064691376).

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

20627104985424 is a wasteful number, since it uses less digits than its factorization.

20627104985424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15573 (or 15558 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 20627104985424 in words is "twenty trillion, six hundred twenty-seven billion, one hundred four million, nine hundred eighty-five thousand, four hundred twenty-four".