20477963903040 has 896 divisors, whose sum is σ = 83015037342720. Its totient is φ = 4655061467136.

The previous prime is 20477963903039. The next prime is 20477963903071. The reversal of 20477963903040 is 4030936977402.

20477963903040 is a `hidden beast` number, since 20 + 477 + 9 + 63 + 90 + 3 + 0 + 4 + 0 = 666.

20477963903040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20477963903040² (a number of 27 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 14290274164 + ... + 14290275596.

It is an arithmetic number, because the mean of its divisors is an integer number (92650711320).

Almost surely, 2^{20477963903040} is an apocalyptic number.

20477963903040 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 20477963903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41507518671360).

20477963903040 is an abundant number, since it is smaller than the sum of its proper divisors (62537073439680).

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

20477963903040 is a wasteful number, since it uses less digits than its factorization.

20477963903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 20477963903040 in words is "twenty trillion, four hundred seventy-seven billion, nine hundred sixty-three million, nine hundred three thousand, forty".