53764596734400 has 504 divisors, whose sum is σ = 201454537247600. Its totient is φ = 13562040729600.

The previous prime is 53764596734353. The next prime is 53764596734413. The reversal of 53764596734400 is 443769546735.

It is a happy number.

53764596734400 is a `hidden beast` number, since 5 + 3 + 7 + 6 + 4 + 596 + 7 + 34 + 4 + 0 + 0 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 180700956 + ... + 180998244.

Almost surely, 2^{53764596734400} is an apocalyptic number.

53764596734400 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 53764596734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100727268623800).

53764596734400 is an abundant number, since it is smaller than the sum of its proper divisors (147689940513200).

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

53764596734400 is a wasteful number, since it uses less digits than its factorization.

53764596734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297997 (or 297979 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 63.

The spelling of 53764596734400 in words is "fifty-three trillion, seven hundred sixty-four billion, five hundred ninety-six million, seven hundred thirty-four thousand, four hundred".