26625438720 has 880 divisors, whose sum is σ = 104622988800. Its totient is φ = 6449725440.

The previous prime is 26625438683. The next prime is 26625438767. The reversal of 26625438720 is 2783452662.

26625438720 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 543 + 87 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 244270026 + ... + 244270134.

It is an arithmetic number, because the mean of its divisors is an integer number (118889760).

Almost surely, 2^26625438720 is an apocalyptic number.

26625438720 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 26625438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52311494400).

26625438720 is an abundant number, since it is smaller than the sum of its proper divisors (77997550080).

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

26625438720 is a wasteful number, since it uses less digits than its factorization.

26625438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 26625438720 in words is "twenty-six billion, six hundred twenty-five million, four hundred thirty-eight thousand, seven hundred twenty".