26298742932900 has 243 divisors, whose sum is σ = 82944820756161. Its totient is φ = 6969633802560.

The previous prime is 26298742932883. The next prime is 26298742932923. The reversal of 26298742932900 is 923924789262.

The square root of 26298742932900 is 5128230.

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

26298742932900 is a `hidden beast` number, since 2 + 6 + 2 + 98 + 7 + 429 + 32 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9467547455844 + 16831195477056 = 3076938^2 + 4102584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30615532671 + ... + 30615533529.

Almost surely, 2^{26298742932900} is an apocalyptic number.

26298742932900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26298742932900 is the 5128230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26298742932900

26298742932900 is an abundant number, since it is smaller than the sum of its proper divisors (56646077823261).

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

26298742932900 is an equidigital number, since it uses as much as digits as its factorization.

26298742932900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 26298742932900 in words is "twenty-six trillion, two hundred ninety-eight billion, seven hundred forty-two million, nine hundred thirty-two thousand, nine hundred".