20477820301568 has 216 divisors, whose sum is σ = 50064307816320. Its totient is φ = 8312227983360.

The previous prime is 20477820301529. The next prime is 20477820301591. The reversal of 20477820301568 is 86510302877402.

20477820301568 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 2×20477820301568² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1271037833 + ... + 1271053943.

Almost surely, 2^{20477820301568} is an apocalyptic number.

20477820301568 is a gapful number since it is divisible by the number (28) 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 20477820301568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25032153908160).

20477820301568 is an abundant number, since it is smaller than the sum of its proper divisors (29586487514752).

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

20477820301568 is a wasteful number, since it uses less digits than its factorization.

20477820301568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21493 (or 21472 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 20477820301568 in words is "twenty trillion, four hundred seventy-seven billion, eight hundred twenty million, three hundred one thousand, five hundred sixty-eight".