5362172766720 has 1920 divisors, whose sum is σ = 24346643143680. Its totient is φ = 1106127912960.

The previous prime is 5362172766683. The next prime is 5362172766721. The reversal of 5362172766720 is 276672712635.

It is a happy number.

5362172766720 is a `hidden beast` number, since 5 + 3 + 621 + 7 + 2 + 7 + 6 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (5362172766721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6072675399 + ... + 6072676281.

It is an arithmetic number, because the mean of its divisors is an integer number (12680543304).

Almost surely, 2^{5362172766720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5362172766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12173321571840).

5362172766720 is an abundant number, since it is smaller than the sum of its proper divisors (18984470376960).

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

5362172766720 is a wasteful number, since it uses less digits than its factorization.

5362172766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 5362172766720 in words is "five trillion, three hundred sixty-two billion, one hundred seventy-two million, seven hundred sixty-six thousand, seven hundred twenty".