26057993760 has 384 divisors, whose sum is σ = 93237661440. Its totient is φ = 6795436032.

The previous prime is 26057993747. The next prime is 26057993789. The reversal of 26057993760 is 6739975062.

26057993760 is a `hidden beast` number, since 2 + 6 + 0 + 579 + 9 + 3 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26057993697 and 26057993706.

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, 57019452 + ... + 57019908.

It is an arithmetic number, because the mean of its divisors is an integer number (242806410).

Almost surely, 2^26057993760 is an apocalyptic number.

26057993760 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 26057993760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46618830720).

26057993760 is an abundant number, since it is smaller than the sum of its proper divisors (67179667680).

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

26057993760 is a wasteful number, since it uses less digits than its factorization.

26057993760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 26057993760 in words is "twenty-six billion, fifty-seven million, nine hundred ninety-three thousand, seven hundred sixty".