5521672800 has 1080 divisors, whose sum is σ = 24568989984. Its totient is φ = 1201858560.

The previous prime is 5521672781. The next prime is 5521672801. The reversal of 5521672800 is 82761255.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5521672801) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 117482377 + ... + 117482423.

Almost surely, 2^5521672800 is an apocalyptic number.

5521672800 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 5521672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12284494992).

5521672800 is an abundant number, since it is smaller than the sum of its proper divisors (19047317184).

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

5521672800 is a wasteful number, since it uses less digits than its factorization.

5521672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5521672800 is about 74307.9591968451. The cubic root of 5521672800 is about 1767.4896904931.

The spelling of 5521672800 in words is "five billion, five hundred twenty-one million, six hundred seventy-two thousand, eight hundred".