5790164947200 has 216 divisors, whose sum is σ = 21231945756000. Its totient is φ = 1544043939840.

The previous prime is 5790164947183. The next prime is 5790164947211. The reversal of 5790164947200 is 27494610975.

5790164947200 is a `hidden beast` number, since 5 + 7 + 9 + 0 + 164 + 9 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16581150 + ... + 16926749.

Almost surely, 2^{5790164947200} is an apocalyptic number.

5790164947200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5790164947200 is an abundant number, since it is smaller than the sum of its proper divisors (15441780808800).

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

5790164947200 is a wasteful number, since it uses less digits than its factorization.

5790164947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33507934 (or 33507909 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 5790164947200 in words is "five trillion, seven hundred ninety billion, one hundred sixty-four million, nine hundred forty-seven thousand, two hundred".