26128097740800 has 1728 divisors, whose sum is σ = 107041128929280. Its totient is φ = 6029033472000.

The previous prime is 26128097740799. The next prime is 26128097740819. The reversal of 26128097740800 is 804779082162.

It is a happy number.

26128097740800 is a `hidden beast` number, since 26 + 128 + 0 + 97 + 7 + 408 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31593829987 + ... + 31593830813.

It is an arithmetic number, because the mean of its divisors is an integer number (61945097760).

Almost surely, 2^{26128097740800} is an apocalyptic number.

26128097740800 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 26128097740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53520564464640).

26128097740800 is an abundant number, since it is smaller than the sum of its proper divisors (80913031188480).

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

26128097740800 is a wasteful number, since it uses less digits than its factorization.

26128097740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1142 counting only the distinct ones).

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

The spelling of 26128097740800 in words is "twenty-six trillion, one hundred twenty-eight billion, ninety-seven million, seven hundred forty thousand, eight hundred".