5553920400 has 960 divisors, whose sum is σ = 23912755200. Its totient is φ = 1070530560.

The previous prime is 5553920389. The next prime is 5553920453. The reversal of 5553920400 is 40293555.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62403556 + ... + 62403644.

It is an arithmetic number, because the mean of its divisors is an integer number (24909120).

Almost surely, 2^5553920400 is an apocalyptic number.

5553920400 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 5553920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11956377600).

5553920400 is an abundant number, since it is smaller than the sum of its proper divisors (18358834800).

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

5553920400 is a wasteful number, since it uses less digits than its factorization.

5553920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 5553920400 is about 74524.6294858284. The cubic root of 5553920400 is about 1770.9238370477.

It can be divided in two parts, 55539 and 20400, that multiplied together give a square (1132995600 = 33660²).

The spelling of 5553920400 in words is "five billion, five hundred fifty-three million, nine hundred twenty thousand, four hundred".