26395368480 has 768 divisors, whose sum is σ = 108464832000. Its totient is φ = 5936136192.

The previous prime is 26395368479. The next prime is 26395368511. The reversal of 26395368480 is 8486359362.

26395368480 is a `hidden beast` number, since 2 + 63 + 9 + 536 + 8 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 30943734 + ... + 30944586.

It is an arithmetic number, because the mean of its divisors is an integer number (141230250).

Almost surely, 2^26395368480 is an apocalyptic number.

26395368480 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 26395368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54232416000).

26395368480 is an abundant number, since it is smaller than the sum of its proper divisors (82069463520).

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

26395368480 is a wasteful number, since it uses less digits than its factorization.

26395368480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 26395368480 in words is "twenty-six billion, three hundred ninety-five million, three hundred sixty-eight thousand, four hundred eighty".