26489877120 has 448 divisors, whose sum is σ = 108524931840. Its totient is φ = 6054082560.

The previous prime is 26489877107. The next prime is 26489877137. The reversal of 26489877120 is 2177898462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3261865 + ... + 3269975.

Almost surely, 2^26489877120 is an apocalyptic number.

26489877120 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 26489877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54262465920).

26489877120 is an abundant number, since it is smaller than the sum of its proper divisors (82035054720).

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

26489877120 is an frugal number, since it uses more digits than its factorization.

26489877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8155 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 26489877120 in words is "twenty-six billion, four hundred eighty-nine million, eight hundred seventy-seven thousand, one hundred twenty".