26200625472 has 672 divisors, whose sum is σ = 95858380800. Its totient is φ = 6928975872.

The previous prime is 26200625461. The next prime is 26200625509. The reversal of 26200625472 is 27452600262.

26200625472 is a `hidden beast` number, since 2 + 6 + 20 + 0 + 625 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 109625929 + ... + 109626167.

It is an arithmetic number, because the mean of its divisors is an integer number (142646400).

Almost surely, 2^26200625472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26200625472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47929190400).

26200625472 is an abundant number, since it is smaller than the sum of its proper divisors (69657755328).

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

26200625472 is a wasteful number, since it uses less digits than its factorization.

26200625472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 26200625472 in words is "twenty-six billion, two hundred million, six hundred twenty-five thousand, four hundred seventy-two".