26253776000 has 256 divisors, whose sum is σ = 69075901440. Its totient is φ = 9907200000.

The previous prime is 26253775997. The next prime is 26253776023. The reversal of 26253776000 is 67735262.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20335355 + ... + 20336645.

It is an arithmetic number, because the mean of its divisors is an integer number (269827740).

Almost surely, 2^26253776000 is an apocalyptic number.

26253776000 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 26253776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34537950720).

26253776000 is an abundant number, since it is smaller than the sum of its proper divisors (42822125440).

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

26253776000 is a wasteful number, since it uses less digits than its factorization.

26253776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The spelling of 26253776000 in words is "twenty-six billion, two hundred fifty-three million, seven hundred seventy-six thousand".