5654521600 has 648 divisors, whose sum is σ = 18708854640. Its totient is φ = 1672151040.

The previous prime is 5654521571. The next prime is 5654521603. The reversal of 5654521600 is 61254565.

It is a super-2 number, since 2×5654521600² = 63947229049733120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5654521603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77459164 + ... + 77459236.

Almost surely, 2^5654521600 is an apocalyptic number.

5654521600 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 5654521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354427320).

5654521600 is an abundant number, since it is smaller than the sum of its proper divisors (13054333040).

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

5654521600 is a wasteful number, since it uses less digits than its factorization.

5654521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 5654521600 is about 75196.5531124931. The cubic root of 5654521600 is about 1781.5524897592.

The spelling of 5654521600 in words is "five billion, six hundred fifty-four million, five hundred twenty-one thousand, six hundred".