5505429600 has 1152 divisors, whose sum is σ = 24298444800. Its totient is φ = 1187020800.

The previous prime is 5505429577. The next prime is 5505429623. The reversal of 5505429600 is 69245055.

5505429600 is a `hidden beast` number, since 5 + 5 + 0 + 5 + 42 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5505429577) and next prime (5505429623).

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

It is a congruent number.

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, 117136777 + ... + 117136823.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 2^5505429600 is an apocalyptic number.

5505429600 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 5505429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12149222400).

5505429600 is an abundant number, since it is smaller than the sum of its proper divisors (18793015200).

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

5505429600 is a wasteful number, since it uses less digits than its factorization.

5505429600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5505429600 is about 74198.5821966970. The cubic root of 5505429600 is about 1765.7548366056.

The spelling of 5505429600 in words is "five billion, five hundred five million, four hundred twenty-nine thousand, six hundred".