20777055600 has 480 divisors, whose sum is σ = 79665885184. Its totient is φ = 4528742400.

The previous prime is 20777055599. The next prime is 20777055613. The reversal of 20777055600 is 655077702.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 19008654 + ... + 19009746.

Almost surely, 2^20777055600 is an apocalyptic number.

20777055600 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 20777055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39832942592).

20777055600 is an abundant number, since it is smaller than the sum of its proper divisors (58888829584).

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

20777055600 is a wasteful number, since it uses less digits than its factorization.

20777055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The spelling of 20777055600 in words is "twenty billion, seven hundred seventy-seven million, fifty-five thousand, six hundred".