5763350016000 has 832 divisors, whose sum is σ = 21570014269440. Its totient is φ = 1518074265600.

The previous prime is 5763350015989. The next prime is 5763350016037. The reversal of 5763350016000 is 6100533675.

It is a happy number.

5763350016000 is a `hidden beast` number, since 5 + 7 + 633 + 5 + 0 + 0 + 16 + 0 + 0 + 0 = 666.

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

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, 1147389489 + ... + 1147394511.

It is an arithmetic number, because the mean of its divisors is an integer number (25925497920).

Almost surely, 2^{5763350016000} is an apocalyptic number.

5763350016000 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 5763350016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10785007134720).

5763350016000 is an abundant number, since it is smaller than the sum of its proper divisors (15806664253440).

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

5763350016000 is an equidigital number, since it uses as much as digits as its factorization.

5763350016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

Adding to 5763350016000 its reverse (6100533675), we get a palindrome (5769450549675).

The spelling of 5763350016000 in words is "five trillion, seven hundred sixty-three billion, three hundred fifty million, sixteen thousand".