26253348696000 has 784 divisors, whose sum is σ = 100625244365568. Its totient is φ = 6775011072000.

The previous prime is 26253348695993. The next prime is 26253348696011. The reversal of 26253348696000 is 69684335262.

It is a happy number.

26253348696000 is a `hidden beast` number, since 2 + 6 + 2 + 533 + 48 + 6 + 9 + 60 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 180719394 + ... + 180864606.

Almost surely, 2^{26253348696000} is an apocalyptic number.

26253348696000 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 26253348696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50312622182784).

26253348696000 is an abundant number, since it is smaller than the sum of its proper divisors (74371895669568).

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

26253348696000 is an equidigital number, since it uses as much as digits as its factorization.

26253348696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145289 (or 145254 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 26253348696000 in words is "twenty-six trillion, two hundred fifty-three billion, three hundred forty-eight million, six hundred ninety-six thousand".