53418353882400 has 2016 divisors, whose sum is σ = 223987816362240. Its totient is φ = 12325425315840.

The previous prime is 53418353882339. The next prime is 53418353882437. The reversal of 53418353882400 is 428835381435.

53418353882400 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 83 + 538 + 8 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 335 ways as a sum of consecutive naturals, for example, 13972886889 + ... + 13972890711.

It is an arithmetic number, because the mean of its divisors is an integer number (111105067640).

Almost surely, 2^{53418353882400} is an apocalyptic number.

53418353882400 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 53418353882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111993908181120).

53418353882400 is an abundant number, since it is smaller than the sum of its proper divisors (170569462479840).

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

53418353882400 is a wasteful number, since it uses less digits than its factorization.

53418353882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 53418353882400 in words is "fifty-three trillion, four hundred eighteen billion, three hundred fifty-three million, eight hundred eighty-two thousand, four hundred".