26275001280 has 448 divisors, whose sum is σ = 95563431936. Its totient is φ = 6054400000.

The previous prime is 26275001251. The next prime is 26275001309. The reversal of 26275001280 is 8210057262.

It is an interprime number because it is at equal distance from previous prime (26275001251) and next prime (26275001309).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60962665 + ... + 60963095.

It is an arithmetic number, because the mean of its divisors is an integer number (213311232).

Almost surely, 2^26275001280 is an apocalyptic number.

26275001280 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 26275001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47781715968).

26275001280 is an abundant number, since it is smaller than the sum of its proper divisors (69288430656).

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

26275001280 is a wasteful number, since it uses less digits than its factorization.

26275001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 26275001280 in words is "twenty-six billion, two hundred seventy-five million, one thousand, two hundred eighty".