26225280000 has 660 divisors, whose sum is σ = 98512325340. Its totient is φ = 6709248000.

The previous prime is 26225279999. The next prime is 26225280017. The reversal of 26225280000 is 8252262.

It can be written as a sum of positive squares in 10 ways, for example, as 22112879616 + 4112400384 = 148704^2 + 64128^2 .

It is a super-2 number, since 2×26225280000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 167039922 + ... + 167040078.

It is an arithmetic number, because the mean of its divisors is an integer number (149261099).

Almost surely, 2^26225280000 is an apocalyptic number.

26225280000 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 26225280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49256162670).

26225280000 is an abundant number, since it is smaller than the sum of its proper divisors (72287045340).

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

26225280000 is a wasteful number, since it uses less digits than its factorization.

26225280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 196 counting only the distinct ones).

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

The spelling of 26225280000 in words is "twenty-six billion, two hundred twenty-five million, two hundred eighty thousand".