53226255182400 has 504 divisors, whose sum is σ = 202842439038720. Its totient is φ = 13189643550720.

The previous prime is 53226255182377. The next prime is 53226255182453. The reversal of 53226255182400 is 428155262235.

53226255182400 is a `hidden beast` number, since 5 + 3 + 2 + 2 + 62 + 5 + 5 + 182 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17963077 + ... + 20715323.

Almost surely, 2^{53226255182400} is an apocalyptic number.

53226255182400 is a gapful number since it is divisible by the number (50) 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 53226255182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101421219519360).

53226255182400 is an abundant number, since it is smaller than the sum of its proper divisors (149616183856320).

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

53226255182400 is a wasteful number, since it uses less digits than its factorization.

53226255182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752371 (or 2752353 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 53226255182400 in words is "fifty-three trillion, two hundred twenty-six billion, two hundred fifty-five million, one hundred eighty-two thousand, four hundred".