26401407532900 has 81 divisors (see below), whose sum is σ = 58166491877739. Its totient is φ = 10401586176960.

The previous prime is 26401407532879. The next prime is 26401407532901. The reversal of 26401407532900 is 923570410462.

The square root of 26401407532900 is 5138230.

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 4284477730404 + 22116929802496 = 2069898^2 + 4702864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26401407532901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3442610266 + ... + 3442617934.

Almost surely, 2^{26401407532900} is an apocalyptic number.

26401407532900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26401407532900 is the 5138230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26401407532900

26401407532900 is an abundant number, since it is smaller than the sum of its proper divisors (31765084344839).

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

26401407532900 is an frugal number, since it uses more digits than its factorization.

26401407532900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15486 (or 7743 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 26401407532900 in words is "twenty-six trillion, four hundred one billion, four hundred seven million, five hundred thirty-two thousand, nine hundred".