20309710055040 has 1536 divisors, whose sum is σ = 87030982656000. Its totient is φ = 4384190914560.

The previous prime is 20309710055017. The next prime is 20309710055137. The reversal of 20309710055040 is 4055001790302.

20309710055040 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 97 + 10 + 0 + 550 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20309710054986 and 20309710055004.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 20916281755 + ... + 20916282725.

It is an arithmetic number, because the mean of its divisors is an integer number (56660796000).

Almost surely, 2^{20309710055040} is an apocalyptic number.

20309710055040 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 20309710055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43515491328000).

20309710055040 is an abundant number, since it is smaller than the sum of its proper divisors (66721272600960).

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

20309710055040 is a wasteful number, since it uses less digits than its factorization.

20309710055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 20309710055040 in words is "twenty trillion, three hundred nine billion, seven hundred ten million, fifty-five thousand, forty".