5353121664 has 192 divisors, whose sum is σ = 17347898880. Its totient is φ = 1569715200.

The previous prime is 5353121647. The next prime is 5353121681. The reversal of 5353121664 is 4661213535.

5353121664 is a `hidden beast` number, since 53 + 531 + 2 + 16 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (5353121647) and next prime (5353121681).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×5353121664² = 57311823099172257792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386019 + ... + 399645.

It is an arithmetic number, because the mean of its divisors is an integer number (90353640).

Almost surely, 2^5353121664 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 5353121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673949440).

5353121664 is an abundant number, since it is smaller than the sum of its proper divisors (11994777216).

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

5353121664 is a wasteful number, since it uses less digits than its factorization.

5353121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13689 (or 13674 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5353121664 is about 73165.0303355367. The cubic root of 5353121664 is about 1749.3190998949.

The spelling of 5353121664 in words is "five billion, three hundred fifty-three million, one hundred twenty-one thousand, six hundred sixty-four".