4497552259200 has 9216 divisors, whose sum is σ = 26161325568000. Its totient is φ = 735746457600.

The previous prime is 4497552259141. The next prime is 4497552259243. The reversal of 4497552259200 is 29522557944.

4497552259200 is a `hidden beast` number, since 4 + 4 + 97 + 5 + 522 + 5 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 195545750389 + ... + 195545750411.

It is an arithmetic number, because the mean of its divisors is an integer number (2838685500).

4497552259200 is a highly composite number, because it has more divisors than any smaller number.

4497552259200 is a superabundant number, because it has a larger abundancy index than any smaller number.

Almost surely, 2^{4497552259200} is an apocalyptic number.

4497552259200 is a gapful number since it is divisible by the number (40) 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 4497552259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080662784000).

4497552259200 is an abundant number, since it is smaller than the sum of its proper divisors (21663773308800).

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

4497552259200 is a wasteful number, since it uses less digits than its factorization.

4497552259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 4497552259200 in words is "four trillion, four hundred ninety-seven billion, five hundred fifty-two million, two hundred fifty-nine thousand, two hundred".