26680370457600 has 1584 divisors, whose sum is σ = 103975827621120. Its totient is φ = 6769424793600.

The previous prime is 26680370457541. The next prime is 26680370457667. The reversal of 26680370457600 is 675407308662.

26680370457600 is a `hidden beast` number, since 2 + 6 + 68 + 0 + 3 + 7 + 0 + 4 + 576 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12808626159 + ... + 12808628241.

Almost surely, 2^{26680370457600} is an apocalyptic number.

26680370457600 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 26680370457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51987913810560).

26680370457600 is an abundant number, since it is smaller than the sum of its proper divisors (77295457163520).

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

26680370457600 is a wasteful number, since it uses less digits than its factorization.

26680370457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 26680370457600 in words is "twenty-six trillion, six hundred eighty billion, three hundred seventy million, four hundred fifty-seven thousand, six hundred".