26728301538240 has 448 divisors, whose sum is σ = 89270276567040. Its totient is φ = 6762437017600.

The previous prime is 26728301538233. The next prime is 26728301538287. The reversal of 26728301538240 is 4283510382762.

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, 4842958201 + ... + 4842963719.

Almost surely, 2^{26728301538240} is an apocalyptic number.

26728301538240 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 26728301538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44635138283520).

26728301538240 is an abundant number, since it is smaller than the sum of its proper divisors (62541975028800).

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

26728301538240 is a wasteful number, since it uses less digits than its factorization.

26728301538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7300 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 26728301538240 in words is "twenty-six trillion, seven hundred twenty-eight billion, three hundred one million, five hundred thirty-eight thousand, two hundred forty".