26257432320 has 432 divisors, whose sum is σ = 104230264320. Its totient is φ = 5978382336.

The previous prime is 26257432301. The next prime is 26257432343. The reversal of 26257432320 is 2323475262.

26257432320 is a `hidden beast` number, since 2 + 62 + 574 + 3 + 2 + 3 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28949307 + ... + 28950213.

It is an arithmetic number, because the mean of its divisors is an integer number (241273760).

Almost surely, 2^26257432320 is an apocalyptic number.

26257432320 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 26257432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52115132160).

26257432320 is an abundant number, since it is smaller than the sum of its proper divisors (77972832000).

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

26257432320 is a wasteful number, since it uses less digits than its factorization.

26257432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 26257432320 in words is "twenty-six billion, two hundred fifty-seven million, four hundred thirty-two thousand, three hundred twenty".