53315004241200 has 960 divisors, whose sum is σ = 196989911838720. Its totient is φ = 12217360896000.

The previous prime is 53315004241099. The next prime is 53315004241237. The reversal of 53315004241200 is 214240051335.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3999318535 + ... + 3999331865.

It is an arithmetic number, because the mean of its divisors is an integer number (205197824832).

Almost surely, 2^{53315004241200} is an apocalyptic number.

53315004241200 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 53315004241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98494955919360).

53315004241200 is an abundant number, since it is smaller than the sum of its proper divisors (143674907597520).

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

53315004241200 is a wasteful number, since it uses less digits than its factorization.

53315004241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13618 (or 13607 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 53315004241200 its reverse (214240051335), we get a palindrome (53529244292535).

The spelling of 53315004241200 in words is "fifty-three trillion, three hundred fifteen billion, four million, two hundred forty-one thousand, two hundred".