26407546880 has 416 divisors, whose sum is σ = 76092162048. Its totient is φ = 8670412800.

The previous prime is 26407546873. The next prime is 26407546889. The reversal of 26407546880 is 8864570462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is not an unprimeable number, because it can be changed into a prime (26407546889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207933377 + ... + 207933503.

Almost surely, 2^26407546880 is an apocalyptic number.

26407546880 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 26407546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38046081024).

26407546880 is an abundant number, since it is smaller than the sum of its proper divisors (49684615168).

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

26407546880 is a wasteful number, since it uses less digits than its factorization.

26407546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 26407546880 in words is "twenty-six billion, four hundred seven million, five hundred forty-six thousand, eight hundred eighty".