1976791008256 has 99 divisors (see below), whose sum is σ = 4032482067831. Its totient is φ = 968576753664.

The previous prime is 1976791008253. The next prime is 1976791008277. The reversal of 1976791008256 is 6528001976791.

The square root of 1976791008256 is 1405984.

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

It can be written as a sum of positive squares in 4 ways, for example, as 178016486400 + 1798774521856 = 421920^2 + 1341184^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1976791008194 and 1976791008203.

It is not an unprimeable number, because it can be changed into a prime (1976791008253) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2384548450 + ... + 2384549278.

Almost surely, 2^{1976791008256} is an apocalyptic number.

1976791008256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1976791008256 is the 1405984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1976791008256

1976791008256 is an abundant number, since it is smaller than the sum of its proper divisors (2055691059575).

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

1976791008256 is an frugal number, since it uses more digits than its factorization.

1976791008256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 61.

The spelling of 1976791008256 in words is "one trillion, nine hundred seventy-six billion, seven hundred ninety-one million, eight thousand, two hundred fifty-six".