26145436100 has 144 divisors (see below), whose sum is σ = 65505140736. Its totient is φ = 8872848000.

The previous prime is 26145436091. The next prime is 26145436129. The reversal of 26145436100 is 163454162.

It is a super-3 number, since 3×26145436100³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37836755 + ... + 37837445.

Almost surely, 2^26145436100 is an apocalyptic number.

26145436100 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 26145436100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32752570368).

26145436100 is an abundant number, since it is smaller than the sum of its proper divisors (39359704636).

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

26145436100 is a wasteful number, since it uses less digits than its factorization.

26145436100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 26145436100 in words is "twenty-six billion, one hundred forty-five million, four hundred thirty-six thousand, one hundred".