5735557632000 has 832 divisors, whose sum is σ = 22078352185344. Its totient is φ = 1294988083200.

The previous prime is 5735557631983. The next prime is 5735557632047. The reversal of 5735557632000 is 2367555375.

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 63 ways as a sum of consecutive naturals, for example, 892412787 + ... + 892419213.

It is an arithmetic number, because the mean of its divisors is an integer number (26536480992).

Almost surely, 2^{5735557632000} is an apocalyptic number.

5735557632000 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 5735557632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11039176092672).

5735557632000 is an abundant number, since it is smaller than the sum of its proper divisors (16342794553344).

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

5735557632000 is an equidigital number, since it uses as much as digits as its factorization.

5735557632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6559 (or 6527 counting only the distinct ones).

The product of its (nonzero) digits is 3307500, while the sum is 48.

The spelling of 5735557632000 in words is "five trillion, seven hundred thirty-five billion, five hundred fifty-seven million, six hundred thirty-two thousand".