53413141200 has 120 divisors (see below), whose sum is σ = 171301678848. Its totient is φ = 14226723840.

The previous prime is 53413141163. The next prime is 53413141231. The reversal of 53413141200 is 214131435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×53413141200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1009812 + ... + 1061388.

Almost surely, 2^53413141200 is an apocalyptic number.

53413141200 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 53413141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85650839424).

53413141200 is an abundant number, since it is smaller than the sum of its proper divisors (117888537648).

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

53413141200 is a wasteful number, since it uses less digits than its factorization.

53413141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52461 (or 52450 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 53413141200 its reverse (214131435), we get a palindrome (53627272635).

The spelling of 53413141200 in words is "fifty-three billion, four hundred thirteen million, one hundred forty-one thousand, two hundred".