26345540100 has 288 divisors, whose sum is σ = 87453152640. Its totient is φ = 6064128000.

The previous prime is 26345540047. The next prime is 26345540119. The reversal of 26345540100 is 104554362.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5835444 + ... + 5839956.

It is an arithmetic number, because the mean of its divisors is an integer number (303656780).

Almost surely, 2^26345540100 is an apocalyptic number.

26345540100 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 26345540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43726576320).

26345540100 is an abundant number, since it is smaller than the sum of its proper divisors (61107612540).

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

26345540100 is a wasteful number, since it uses less digits than its factorization.

26345540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 26345540100 in words is "twenty-six billion, three hundred forty-five million, five hundred forty thousand, one hundred".