26223455462400 has 1056 divisors, whose sum is σ = 110319984346880. Its totient is φ = 5979612119040.

The previous prime is 26223455462381. The next prime is 26223455462401. The reversal of 26223455462400 is 426455432262.

26223455462400 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 34 + 554 + 62 + 4 + 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 (26223455462401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2095020942 + ... + 2095033458.

Almost surely, 2^{26223455462400} is an apocalyptic number.

26223455462400 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 26223455462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55159992173440).

26223455462400 is an abundant number, since it is smaller than the sum of its proper divisors (84096528884480).

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

26223455462400 is a wasteful number, since it uses less digits than its factorization.

26223455462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12996 (or 12967 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 26223455462400 in words is "twenty-six trillion, two hundred twenty-three billion, four hundred fifty-five million, four hundred sixty-two thousand, four hundred".