20810424903840 has 768 divisors, whose sum is σ = 87882941744640. Its totient is φ = 4531011747840.

The previous prime is 20810424903781. The next prime is 20810424903847. The reversal of 20810424903840 is 4830942401802.

20810424903840 is a `hidden beast` number, since 2 + 0 + 81 + 0 + 4 + 2 + 490 + 3 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20810424903847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22401892 + ... + 23312348.

It is an arithmetic number, because the mean of its divisors is an integer number (114430913730).

Almost surely, 2^{20810424903840} is an apocalyptic number.

20810424903840 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 20810424903840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43941470872320).

20810424903840 is an abundant number, since it is smaller than the sum of its proper divisors (67072516840800).

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

20810424903840 is a wasteful number, since it uses less digits than its factorization.

20810424903840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910542 (or 910528 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 20810424903840 in words is "twenty trillion, eight hundred ten billion, four hundred twenty-four million, nine hundred three thousand, eight hundred forty".