26572426900 has 54 divisors (see below), whose sum is σ = 59263028538. Its totient is φ = 10341648000.

The previous prime is 26572426889. The next prime is 26572426927. The reversal of 26572426900 is 962427562.

It can be written as a sum of positive squares in 9 ways, for example, as 3262465924 + 23309960976 = 57118^2 + 152676^2 .

It is a super-2 number, since 2×26572426900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 39850 + ... + 233950.

Almost surely, 2^26572426900 is an apocalyptic number.

26572426900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26572426900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631514269).

26572426900 is an abundant number, since it is smaller than the sum of its proper divisors (32690601638).

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

26572426900 is a wasteful number, since it uses less digits than its factorization.

26572426900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194189 (or 194145 counting only the distinct ones).

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

The spelling of 26572426900 in words is "twenty-six billion, five hundred seventy-two million, four hundred twenty-six thousand, nine hundred".