26790859649520 has 240 divisors, whose sum is σ = 95423682305952. Its totient is φ = 6712790630400.

The previous prime is 26790859649501. The next prime is 26790859649597. The reversal of 26790859649520 is 2594695809762.

26790859649520 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 0 + 8 + 5 + 96 + 4 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5535279 + ... + 9177201.

Almost surely, 2^{26790859649520} is an apocalyptic number.

26790859649520 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 26790859649520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47711841152976).

26790859649520 is an abundant number, since it is smaller than the sum of its proper divisors (68632822656432).

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

26790859649520 is a wasteful number, since it uses less digits than its factorization.

26790859649520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642560 (or 3642551 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 26790859649520 in words is "twenty-six trillion, seven hundred ninety billion, eight hundred fifty-nine million, six hundred forty-nine thousand, five hundred twenty".