53111248332800 has 1152 divisors, whose sum is σ = 166604649120000. Its totient is φ = 16716555878400.

The previous prime is 53111248332757. The next prime is 53111248332803. The reversal of 53111248332800 is 823384211135.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (53111248332803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12240433031 + ... + 12240437369.

It is an arithmetic number, because the mean of its divisors is an integer number (144622091250).

Almost surely, 2^{53111248332800} is an apocalyptic number.

53111248332800 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 53111248332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83302324560000).

53111248332800 is an abundant number, since it is smaller than the sum of its proper divisors (113493400787200).

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

53111248332800 is a wasteful number, since it uses less digits than its factorization.

53111248332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 53111248332800 in words is "fifty-three trillion, one hundred eleven billion, two hundred forty-eight million, three hundred thirty-two thousand, eight hundred".