26059968000 has 800 divisors, whose sum is σ = 106128573408. Its totient is φ = 6303744000.

The previous prime is 26059967963. The next prime is 26059968029. The reversal of 26059968000 is 86995062.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×26059968000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57023772 + ... + 57024228.

Almost surely, 2^26059968000 is an apocalyptic number.

26059968000 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 26059968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53064286704).

26059968000 is an abundant number, since it is smaller than the sum of its proper divisors (80068605408).

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

26059968000 is an equidigital number, since it uses as much as digits as its factorization.

26059968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 26059968000 in words is "twenty-six billion, fifty-nine million, nine hundred sixty-eight thousand".