53336349333120 has 512 divisors, whose sum is σ = 194714261544960. Its totient is φ = 12164998348800.

The previous prime is 53336349333097. The next prime is 53336349333139. The reversal of 53336349333120 is 2133394363335.

It is a happy number.

It is a super-2 number, since 2×53336349333120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53336349333120.

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, 19674048565 + ... + 19674051275.

It is an arithmetic number, because the mean of its divisors is an integer number (380301292080).

Almost surely, 2^{53336349333120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53336349333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97357130772480).

53336349333120 is an abundant number, since it is smaller than the sum of its proper divisors (141377912211840).

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

53336349333120 is a wasteful number, since it uses less digits than its factorization.

53336349333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 48.

The spelling of 53336349333120 in words is "fifty-three trillion, three hundred thirty-six billion, three hundred forty-nine million, three hundred thirty-three thousand, one hundred twenty".