26325293120 has 168 divisors, whose sum is σ = 74702136600. Its totient is φ = 8805457920.

The previous prime is 26325293087. The next prime is 26325293123. The reversal of 26325293120 is 2139252362.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 26319221824 = 2464^2 + 162232^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (26325293123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622406 + ... + 663354.

It is an arithmetic number, because the mean of its divisors is an integer number (444655575).

Almost surely, 2^26325293120 is an apocalyptic number.

26325293120 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 26325293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37351068300).

26325293120 is an abundant number, since it is smaller than the sum of its proper divisors (48376843480).

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

26325293120 is a wasteful number, since it uses less digits than its factorization.

26325293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41021 (or 41004 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 26325293120 in words is "twenty-six billion, three hundred twenty-five million, two hundred ninety-three thousand, one hundred twenty".