26787570480 has 480 divisors, whose sum is σ = 107402500800. Its totient is φ = 6110945280.

The previous prime is 26787570473. The next prime is 26787570503. The reversal of 26787570480 is 8407578762.

It is a happy number.

26787570480 is a `hidden beast` number, since 2 + 67 + 8 + 7 + 570 + 4 + 8 + 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4440106 + ... + 4446134.

It is an arithmetic number, because the mean of its divisors is an integer number (223755210).

Almost surely, 2^26787570480 is an apocalyptic number.

26787570480 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 26787570480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53701250400).

26787570480 is an abundant number, since it is smaller than the sum of its proper divisors (80614930320).

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

26787570480 is a wasteful number, since it uses less digits than its factorization.

26787570480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 26787570480 in words is "twenty-six billion, seven hundred eighty-seven million, five hundred seventy thousand, four hundred eighty".