20778395927040 has 640 divisors, whose sum is σ = 74408941094400. Its totient is φ = 5495803084800.

The previous prime is 20778395927017. The next prime is 20778395927057. The reversal of 20778395927040 is 4072959387702.

20778395927040 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 8 + 39 + 592 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×20778395927040² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9946574316 + ... + 9946576404.

It is an arithmetic number, because the mean of its divisors is an integer number (116263970460).

Almost surely, 2^{20778395927040} is an apocalyptic number.

20778395927040 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 20778395927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37204470547200).

20778395927040 is an abundant number, since it is smaller than the sum of its proper divisors (53630545167360).

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

20778395927040 is a wasteful number, since it uses less digits than its factorization.

20778395927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 20778395927040 in words is "twenty trillion, seven hundred seventy-eight billion, three hundred ninety-five million, nine hundred twenty-seven thousand, forty".