5350303612800 has 576 divisors, whose sum is σ = 19253234856960. Its totient is φ = 1414682726400.

The previous prime is 5350303612799. The next prime is 5350303612817. The reversal of 5350303612800 is 82163030535.

5350303612800 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 30 + 3 + 612 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1908776199 + ... + 1908779001.

It is an arithmetic number, because the mean of its divisors is an integer number (33425754960).

Almost surely, 2^{5350303612800} is an apocalyptic number.

5350303612800 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 5350303612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626617428480).

5350303612800 is an abundant number, since it is smaller than the sum of its proper divisors (13902931244160).

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

5350303612800 is a wasteful number, since it uses less digits than its factorization.

5350303612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 5350303612800 in words is "five trillion, three hundred fifty billion, three hundred three million, six hundred twelve thousand, eight hundred".