20777285760 has 768 divisors, whose sum is σ = 89063038080. Its totient is φ = 4059955200.

The previous prime is 20777285759. The next prime is 20777285803. The reversal of 20777285760 is 6758277702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17592370 + ... + 17593550.

Almost surely, 2^20777285760 is an apocalyptic number.

20777285760 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 20777285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44531519040).

20777285760 is an abundant number, since it is smaller than the sum of its proper divisors (68285752320).

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

20777285760 is a wasteful number, since it uses less digits than its factorization.

20777285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 51.

The spelling of 20777285760 in words is "twenty billion, seven hundred seventy-seven million, two hundred eighty-five thousand, seven hundred sixty".