276896964100 has 81 divisors (see below), whose sum is σ = 608041549213. Its totient is φ = 109451680000.

The previous prime is 276896964089. The next prime is 276896964101. The reversal of 276896964100 is 1469698672.

It is a happy number.

The square root of 276896964100 is 526210.

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

It can be written as a sum of positive squares in 13 ways, for example, as 78508677636 + 198388286464 = 280194^2 + 445408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (276896964101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 531471840 + ... + 531472360.

Almost surely, 2^276896964100 is an apocalyptic number.

276896964100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

276896964100 is the 526210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276896964100

276896964100 is an abundant number, since it is smaller than the sum of its proper divisors (331144585113).

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

276896964100 is an equidigital number, since it uses as much as digits as its factorization.

276896964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

It can be divided in two parts, 276896 and 964100, that added together give a square (1240996 = 1114²).

The spelling of 276896964100 in words is "two hundred seventy-six billion, eight hundred ninety-six million, nine hundred sixty-four thousand, one hundred".