26421851750400 has 576 divisors, whose sum is σ = 97701490573440. Its totient is φ = 6818483404800.

The previous prime is 26421851750389. The next prime is 26421851750429. The reversal of 26421851750400 is 405715812462.

26421851750400 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 185 + 17 + 50 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×26421851750400² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228498999 + ... + 228614601.

Almost surely, 2^{26421851750400} is an apocalyptic number.

26421851750400 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 26421851750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48850745286720).

26421851750400 is an abundant number, since it is smaller than the sum of its proper divisors (71279638823040).

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

26421851750400 is a wasteful number, since it uses less digits than its factorization.

26421851750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115680 (or 115644 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 26421851750400 in words is "twenty-six trillion, four hundred twenty-one billion, eight hundred fifty-one million, seven hundred fifty thousand, four hundred".