5354564600 has 288 divisors, whose sum is σ = 15889712160. Its totient is φ = 1642291200.

The previous prime is 5354564569. The next prime is 5354564623. The reversal of 5354564600 is 64654535.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12365984 + ... + 12366416.

Almost surely, 2^5354564600 is an apocalyptic number.

5354564600 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 5354564600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7944856080).

5354564600 is an abundant number, since it is smaller than the sum of its proper divisors (10535147560).

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

5354564600 is a wasteful number, since it uses less digits than its factorization.

5354564600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The square root of 5354564600 is about 73174.8905021388. The cubic root of 5354564600 is about 1749.4762623197.

The spelling of 5354564600 in words is "five billion, three hundred fifty-four million, five hundred sixty-four thousand, six hundred".