53313313152000 has 352 divisors, whose sum is σ = 193461912094464. Its totient is φ = 12924438528000.

The previous prime is 53313313151999. The next prime is 53313313152083. The reversal of 53313313152000 is 25131331335.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2086762 + ... + 10534761.

Almost surely, 2^{53313313152000} is an apocalyptic number.

53313313152000 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 53313313152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96730956047232).

53313313152000 is an abundant number, since it is smaller than the sum of its proper divisors (140148598942464).

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

53313313152000 is a wasteful number, since it uses less digits than its factorization.

53313313152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12621572 (or 12621544 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 30.

Adding to 53313313152000 its reverse (25131331335), we get a palindrome (53338444483335).

The spelling of 53313313152000 in words is "fifty-three trillion, three hundred thirteen billion, three hundred thirteen million, one hundred fifty-two thousand".