20277986064 has 160 divisors (see below), whose sum is σ = 63801630720. Its totient is φ = 5423801856.

The previous prime is 20277986033. The next prime is 20277986101. The reversal of 20277986064 is 46068977202.

It is a super-2 number, since 2×20277986064² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20277985998 and 20277986016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335302 + ... + 391130.

It is an arithmetic number, because the mean of its divisors is an integer number (398760192).

Almost surely, 2^20277986064 is an apocalyptic number.

20277986064 is a gapful number since it is divisible by the number (24) 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 20277986064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31900815360).

20277986064 is an abundant number, since it is smaller than the sum of its proper divisors (43523644656).

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

20277986064 is a wasteful number, since it uses less digits than its factorization.

20277986064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55917 (or 55911 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 20277986064 in words is "twenty billion, two hundred seventy-seven million, nine hundred eighty-six thousand, sixty-four".