26148263904000 has 3456 divisors, whose sum is σ = 119085551370240. Its totient is φ = 5389701120000.

The previous prime is 26148263903977. The next prime is 26148263904001. The reversal of 26148263904000 is 40936284162.

26148263904000 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 8 + 2 + 639 + 0 + 4 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26148263904001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 428660063970 + ... + 428660064030.

Almost surely, 2^{26148263904000} is an apocalyptic number.

26148263904000 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 26148263904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59542775685120).

26148263904000 is an abundant number, since it is smaller than the sum of its proper divisors (92937287466240).

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

26148263904000 is an equidigital number, since it uses as much as digits as its factorization.

26148263904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 26148263904000 in words is "twenty-six trillion, one hundred forty-eight billion, two hundred sixty-three million, nine hundred four thousand".