5591216400 has 360 divisors, whose sum is σ = 22503268032. Its totient is φ = 1161600000.

The previous prime is 5591216387. The next prime is 5591216459. The reversal of 5591216400 is 46121955.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1013650 + ... + 1019150.

Almost surely, 2^5591216400 is an apocalyptic number.

5591216400 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 5591216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11251634016).

5591216400 is an abundant number, since it is smaller than the sum of its proper divisors (16912051632).

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

5591216400 is a wasteful number, since it uses less digits than its factorization.

5591216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5591216400 is about 74774.4368083104. The cubic root of 5591216400 is about 1774.8790660185.

The spelling of 5591216400 in words is "five billion, five hundred ninety-one million, two hundred sixteen thousand, four hundred".