5517428400 has 600 divisors, whose sum is σ = 21951992304. Its totient is φ = 1316044800.

The previous prime is 5517428383. The next prime is 5517428459. The reversal of 5517428400 is 48247155.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×5517428400³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40273132 + ... + 40273268.

Almost surely, 2^5517428400 is an apocalyptic number.

5517428400 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 5517428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10975996152).

5517428400 is an abundant number, since it is smaller than the sum of its proper divisors (16434563904).

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

5517428400 is a wasteful number, since it uses less digits than its factorization.

5517428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5517428400 is about 74279.3941816975. The cubic root of 5517428400 is about 1767.0366963534.

The spelling of 5517428400 in words is "five billion, five hundred seventeen million, four hundred twenty-eight thousand, four hundred".