26274202320960 has 560 divisors, whose sum is σ = 102051017640000. Its totient is φ = 6363724124160.

The previous prime is 26274202320943. The next prime is 26274202321001. The reversal of 26274202320960 is 6902320247262.

26274202320960 is a `hidden beast` number, since 2 + 62 + 7 + 4 + 202 + 320 + 9 + 60 = 666.

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

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, 318437791 + ... + 318520289.

Almost surely, 2^{26274202320960} is an apocalyptic number.

26274202320960 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 26274202320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51025508820000).

26274202320960 is an abundant number, since it is smaller than the sum of its proper divisors (75776815319040).

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

26274202320960 is a wasteful number, since it uses less digits than its factorization.

26274202320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83656 (or 83637 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 26274202320960 in words is "twenty-six trillion, two hundred seventy-four billion, two hundred two million, three hundred twenty thousand, nine hundred sixty".