26354228947200 has 4320 divisors, whose sum is σ = 130684703643648. Its totient is φ = 5072191488000.

The previous prime is 26354228947171. The next prime is 26354228947219. The reversal of 26354228947200 is 274982245362.

26354228947200 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 422 + 8 + 9 + 4 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 48179577327 + ... + 48179577873.

Almost surely, 2^{26354228947200} is an apocalyptic number.

26354228947200 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 26354228947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65342351821824).

26354228947200 is an abundant number, since it is smaller than the sum of its proper divisors (104330474696448).

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

26354228947200 is a wasteful number, since it uses less digits than its factorization.

26354228947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 26354228947200 in words is "twenty-six trillion, three hundred fifty-four billion, two hundred twenty-eight million, nine hundred forty-seven thousand, two hundred".