53226454400 has 192 divisors, whose sum is σ = 155119119360. Its totient is φ = 17660160000.

The previous prime is 53226454399. The next prime is 53226454417. The reversal of 53226454400 is 445462235.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656075 + ... + 732725.

It is an arithmetic number, because the mean of its divisors is an integer number (807912080).

Almost surely, 2^53226454400 is an apocalyptic number.

53226454400 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 53226454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77559559680).

53226454400 is an abundant number, since it is smaller than the sum of its proper divisors (101892664960).

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

53226454400 is a wasteful number, since it uses less digits than its factorization.

53226454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76713 (or 76696 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 53226454400 in words is "fifty-three billion, two hundred twenty-six million, four hundred fifty-four thousand, four hundred".