53238140222400 has 4032 divisors, whose sum is σ = 253082101708800. Its totient is φ = 10944228556800.

The previous prime is 53238140222353. The next prime is 53238140222401. The reversal of 53238140222400 is 422204183235.

53238140222400 is a `hidden beast` number, since 5 + 3 + 2 + 3 + 8 + 1 + 402 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53238140222401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 52143133890 + ... + 52143134910.

It is an arithmetic number, because the mean of its divisors is an integer number (62768378400).

Almost surely, 2^{53238140222400} is an apocalyptic number.

53238140222400 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 53238140222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126541050854400).

53238140222400 is an abundant number, since it is smaller than the sum of its proper divisors (199843961486400).

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

53238140222400 is a wasteful number, since it uses less digits than its factorization.

53238140222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 53238140222400 in words is "fifty-three trillion, two hundred thirty-eight billion, one hundred forty million, two hundred twenty-two thousand, four hundred".