20077756416 has 315 divisors, whose sum is σ = 61708092313. Its totient is φ = 6529351680.

The previous prime is 20077756409. The next prime is 20077756477. The reversal of 20077756416 is 61465777002.

The square root of 20077756416 is 141696.

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

20077756416 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 77 + 564 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 967458816 + 19110297600 = 31104^2 + 138240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 489701356 + ... + 489701396.

Almost surely, 2^20077756416 is an apocalyptic number.

20077756416 is the 141696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20077756416

20077756416 is an abundant number, since it is smaller than the sum of its proper divisors (41630335897).

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

20077756416 is an frugal number, since it uses more digits than its factorization.

20077756416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 20077756416 in words is "twenty billion, seventy-seven million, seven hundred fifty-six thousand, four hundred sixteen".