5353977600 has 162 divisors, whose sum is σ = 19141884216. Its totient is φ = 1427712000.

The previous prime is 5353977583. The next prime is 5353977613. The reversal of 5353977600 is 67793535.

5353977600 is a `hidden beast` number, since 5 + 3 + 5 + 39 + 7 + 7 + 600 = 666.

It is a super-2 number, since 2×5353977600² = 57330152282603520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 11125 + ... + 104075.

Almost surely, 2^5353977600 is an apocalyptic number.

5353977600 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 5353977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9570942108).

5353977600 is an abundant number, since it is smaller than the sum of its proper divisors (13787906616).

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

5353977600 is a wasteful number, since it uses less digits than its factorization.

5353977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92983 (or 92961 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The square root of 5353977600 is about 73170.8794535094. The cubic root of 5353977600 is about 1749.4123305673.

The spelling of 5353977600 in words is "five billion, three hundred fifty-three million, nine hundred seventy-seven thousand, six hundred".