53333067648000 has 2112 divisors, whose sum is σ = 213014932341120. Its totient is φ = 11802771456000.

The previous prime is 53333067647971. The next prime is 53333067648011. The reversal of 53333067648000 is 84676033335.

It is a happy number.

It is a super-2 number, since 2×53333067648000² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 198264191866 + ... + 198264192134.

Almost surely, 2^{53333067648000} is an apocalyptic number.

53333067648000 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 53333067648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106507466170560).

53333067648000 is an abundant number, since it is smaller than the sum of its proper divisors (159681864693120).

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

53333067648000 is a wasteful number, since it uses less digits than its factorization.

53333067648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 48.

The spelling of 53333067648000 in words is "fifty-three trillion, three hundred thirty-three billion, sixty-seven million, six hundred forty-eight thousand".