5735216567500 has 120 divisors (see below), whose sum is σ = 14341847539712. Its totient is φ = 1965208392000.

The previous prime is 5735216567489. The next prime is 5735216567537. The reversal of 5735216567500 is 57656125375.

It is a super-2 number, since 2×5735216567500² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30057397 + ... + 30247603.

Almost surely, 2^{5735216567500} is an apocalyptic number.

5735216567500 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 5735216567500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7170923769856).

5735216567500 is an abundant number, since it is smaller than the sum of its proper divisors (8606630972212).

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

5735216567500 is a wasteful number, since it uses less digits than its factorization.

5735216567500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191961 (or 191944 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 52.

The spelling of 5735216567500 in words is "five trillion, seven hundred thirty-five billion, two hundred sixteen million, five hundred sixty-seven thousand, five hundred".