26242145100 has 360 divisors, whose sum is σ = 87244238928. Its totient is φ = 6821107200.

The previous prime is 26242145057. The next prime is 26242145101. The reversal of 26242145100 is 154124262.

26242145100 is a `hidden beast` number, since 2 + 624 + 21 + 4 + 5 + 10 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26242145101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85479147 + ... + 85479453.

Almost surely, 2^26242145100 is an apocalyptic number.

26242145100 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 26242145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43622119464).

26242145100 is an abundant number, since it is smaller than the sum of its proper divisors (61002093828).

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

26242145100 is a wasteful number, since it uses less digits than its factorization.

26242145100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 26242145100 its reverse (154124262), we get a palindrome (26396269362).

The spelling of 26242145100 in words is "twenty-six billion, two hundred forty-two million, one hundred forty-five thousand, one hundred".