26542034100 has 144 divisors (see below), whose sum is σ = 86111502400. Its totient is φ = 7012863360.

The previous prime is 26542034089. The next prime is 26542034131. The reversal of 26542034100 is 143024562.

26542034100 is a `hidden beast` number, since 2 + 654 + 2 + 0 + 3 + 4 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 249207 + ... + 339393.

Almost surely, 2^26542034100 is an apocalyptic number.

26542034100 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 26542034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43055751200).

26542034100 is an abundant number, since it is smaller than the sum of its proper divisors (59569468300).

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

26542034100 is a wasteful number, since it uses less digits than its factorization.

26542034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90319 (or 90306 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 26542034100 its reverse (143024562), we get a palindrome (26685058662).

The spelling of 26542034100 in words is "twenty-six billion, five hundred forty-two million, thirty-four thousand, one hundred".