53345415200 has 576 divisors, whose sum is σ = 173747379456. Its totient is φ = 15611904000.

The previous prime is 53345415199. The next prime is 53345415247. The reversal of 53345415200 is 251454335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126710990 + ... + 126711410.

It is an arithmetic number, because the mean of its divisors is an integer number (301644756).

Almost surely, 2^53345415200 is an apocalyptic number.

53345415200 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 53345415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873689728).

53345415200 is an abundant number, since it is smaller than the sum of its proper divisors (120401964256).

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

53345415200 is a wasteful number, since it uses less digits than its factorization.

53345415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

Adding to 53345415200 its reverse (251454335), we get a palindrome (53596869535).

The spelling of 53345415200 in words is "fifty-three billion, three hundred forty-five million, four hundred fifteen thousand, two hundred".