5529854400 has 336 divisors, whose sum is σ = 21407201280. Its totient is φ = 1222963200.

The previous prime is 5529854389. The next prime is 5529854413. The reversal of 5529854400 is 44589255.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1038946 + ... + 1044254.

Almost surely, 2^5529854400 is an apocalyptic number.

5529854400 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 5529854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10703600640).

5529854400 is an abundant number, since it is smaller than the sum of its proper divisors (15877346880).

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

5529854400 is a wasteful number, since it uses less digits than its factorization.

5529854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 5529854400 is about 74362.9907951529. The cubic root of 5529854400 is about 1768.3622374967.

The spelling of 5529854400 in words is "five billion, five hundred twenty-nine million, eight hundred fifty-four thousand, four hundred".