20277760000 has 195 divisors, whose sum is σ = 51247736881. Its totient is φ = 8019968000.

The previous prime is 20277759967. The next prime is 20277760031. The reversal of 20277760000 is 6777202.

The square root of 20277760000 is 142400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 19698683904 + 579076096 = 140352^2 + 24064^2 .

It is a super-2 number, since 2×20277760000² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 227839956 + ... + 227840044.

Almost surely, 2^20277760000 is an apocalyptic number.

20277760000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20277760000 is the 142400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20277760000

20277760000 is an abundant number, since it is smaller than the sum of its proper divisors (30969976881).

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

20277760000 is an frugal number, since it uses more digits than its factorization.

20277760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The spelling of 20277760000 in words is "twenty billion, two hundred seventy-seven million, seven hundred sixty thousand".