26485606400 has 576 divisors, whose sum is σ = 77800020480. Its totient is φ = 8847360000.

The previous prime is 26485606393. The next prime is 26485606403. The reversal of 26485606400 is 460658462.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (26485606403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645990380 + ... + 645990420.

It is an arithmetic number, because the mean of its divisors is an integer number (135069480).

Almost surely, 2^26485606400 is an apocalyptic number.

26485606400 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 26485606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38900010240).

26485606400 is an abundant number, since it is smaller than the sum of its proper divisors (51314414080).

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

26485606400 is a wasteful number, since it uses less digits than its factorization.

26485606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 26485606400 in words is "twenty-six billion, four hundred eighty-five million, six hundred six thousand, four hundred".