2788065062500 has 63 divisors (see below), whose sum is σ = 6099727527957. Its totient is φ = 1115059050000.

The previous prime is 2788065062413. The next prime is 2788065062509. The reversal of 2788065062500 is 52605608872.

The square root of 2788065062500 is 1669750.

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

It can be written as a sum of positive squares in 3 ways, for example, as 2442612648996 + 345452413504 = 1562886^2 + 587752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2788065062509) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 417434161 + ... + 417440839.

Almost surely, 2^{2788065062500} is an apocalyptic number.

2788065062500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2788065062500 is the 1669750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2788065062500

2788065062500 is an abundant number, since it is smaller than the sum of its proper divisors (3311662465457).

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

2788065062500 is an frugal number, since it uses more digits than its factorization.

2788065062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13392 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 2788065062500 by its sum of digits (49), we get a square (136615188062500 = 11688250²).

The spelling of 2788065062500 in words is "two trillion, seven hundred eighty-eight billion, sixty-five million, sixty-two thousand, five hundred".