5362417217052 has 288 divisors, whose sum is σ = 16971015559680. Its totient is φ = 1446306140160.

The previous prime is 5362417217039. The next prime is 5362417217083. The reversal of 5362417217052 is 2507127142635.

5362417217052 is a `hidden beast` number, since 5 + 3 + 62 + 417 + 2 + 170 + 5 + 2 = 666.

It is a super-3 number, since 3×5362417217052³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5362417216989 and 5362417217007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36252748 + ... + 36400364.

It is an arithmetic number, because the mean of its divisors is an integer number (58927137360).

Almost surely, 2^{5362417217052} 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 5362417217052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485507779840).

5362417217052 is an abundant number, since it is smaller than the sum of its proper divisors (11608598342628).

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

5362417217052 is a wasteful number, since it uses less digits than its factorization.

5362417217052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147943 (or 147929 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 5362417217052 in words is "five trillion, three hundred sixty-two billion, four hundred seventeen million, two hundred seventeen thousand, fifty-two".