26139484800 has 864 divisors, whose sum is σ = 110599392540. Its totient is φ = 5839257600.

The previous prime is 26139484781. The next prime is 26139484817. The reversal of 26139484800 is 848493162.

It is a happy number.

26139484800 is a `hidden beast` number, since 2 + 61 + 39 + 484 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13431882816 + 12707601984 = 115896^2 + 112728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 45302112 + ... + 45302688.

Almost surely, 2^26139484800 is an apocalyptic number.

26139484800 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 26139484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55299696270).

26139484800 is an abundant number, since it is smaller than the sum of its proper divisors (84459907740).

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

26139484800 is a wasteful number, since it uses less digits than its factorization.

26139484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26139484800 in words is "twenty-six billion, one hundred thirty-nine million, four hundred eighty-four thousand, eight hundred".