53349732753408 has 3360 divisors, whose sum is σ = 214759111248000. Its totient is φ = 13147120336896.

The previous prime is 53349732753397. The next prime is 53349732753419. The reversal of 53349732753408 is 80435723794335.

It is a happy number.

53349732753408 is a `hidden beast` number, since 5 + 3 + 3 + 4 + 9 + 73 + 27 + 534 + 0 + 8 = 666.

53349732753408 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53349732753397) and next prime (53349732753419).

It is a super-2 number, since 2×53349732753408² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 730818256860 + ... + 730818256932.

Almost surely, 2^{53349732753408} 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 53349732753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107379555624000).

53349732753408 is an abundant number, since it is smaller than the sum of its proper divisors (161409378494592).

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

53349732753408 is an equidigital number, since it uses as much as digits as its factorization.

53349732753408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 63.

The spelling of 53349732753408 in words is "fifty-three trillion, three hundred forty-nine billion, seven hundred thirty-two million, seven hundred fifty-three thousand, four hundred eight".