26029486080 has 1040 divisors, whose sum is σ = 107896307904. Its totient is φ = 5945425920.

The previous prime is 26029486073. The next prime is 26029486099. The reversal of 26029486080 is 8068492062.

It is a tau number, because it is divible by the number of its divisors (1040).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 366612445 + ... + 366612515.

Almost surely, 2^26029486080 is an apocalyptic number.

26029486080 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 26029486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53948153952).

26029486080 is an abundant number, since it is smaller than the sum of its proper divisors (81866821824).

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

26029486080 is a wasteful number, since it uses less digits than its factorization.

26029486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

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

The spelling of 26029486080 in words is "twenty-six billion, twenty-nine million, four hundred eighty-six thousand, eighty".