26153358400 has 189 divisors, whose sum is σ = 69909462543. Its totient is φ = 9625574400.

The previous prime is 26153358389. The next prime is 26153358401. The reversal of 26153358400 is 485335162.

The square root of 26153358400 is 161720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6741066816 + 19412291584 = 82104^2 + 139328^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26153358400.

It is not an unprimeable number, because it can be changed into a prime (26153358401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84094245 + ... + 84094555.

Almost surely, 2^26153358400 is an apocalyptic number.

26153358400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26153358400 is the 161720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26153358400

26153358400 is an abundant number, since it is smaller than the sum of its proper divisors (43756104143).

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

26153358400 is an equidigital number, since it uses as much as digits as its factorization.

26153358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 26153358400 in words is "twenty-six billion, one hundred fifty-three million, three hundred fifty-eight thousand, four hundred".