53135304244000 has 384 divisors, whose sum is σ = 150888061868544. Its totient is φ = 18174689280000.

The previous prime is 53135304243991. The next prime is 53135304244049. The reversal of 53135304244000 is 44240353135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1333664080 + ... + 1333703920.

It is an arithmetic number, because the mean of its divisors is an integer number (392937661116).

Almost surely, 2^{53135304244000} is an apocalyptic number.

53135304244000 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 53135304244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75444030934272).

53135304244000 is an abundant number, since it is smaller than the sum of its proper divisors (97752757624544).

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

53135304244000 is a wasteful number, since it uses less digits than its factorization.

53135304244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41677 (or 41659 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 53135304244000 its reverse (44240353135), we get a palindrome (53179544597135).

The spelling of 53135304244000 in words is "fifty-three trillion, one hundred thirty-five billion, three hundred four million, two hundred forty-four thousand".