26072505100 has 144 divisors (see below), whose sum is σ = 60469567200. Its totient is φ = 9738731520.

The previous prime is 26072505091. The next prime is 26072505101. The reversal of 26072505100 is 150527062.

It is not an unprimeable number, because it can be changed into a prime (26072505101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20708271 + ... + 20709529.

It is an arithmetic number, because the mean of its divisors is an integer number (419927550).

Almost surely, 2^26072505100 is an apocalyptic number.

26072505100 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 26072505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30234783600).

26072505100 is an abundant number, since it is smaller than the sum of its proper divisors (34397062100).

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

26072505100 is a wasteful number, since it uses less digits than its factorization.

26072505100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 26072505100 in words is "twenty-six billion, seventy-two million, five hundred five thousand, one hundred".