5291222400 has 384 divisors, whose sum is σ = 19791590400. Its totient is φ = 1379911680.

The previous prime is 5291222399. The next prime is 5291222437. The reversal of 5291222400 is 42221925.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4060149 + ... + 4061451.

It is an arithmetic number, because the mean of its divisors is an integer number (51540600).

Almost surely, 2^5291222400 is an apocalyptic number.

5291222400 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 5291222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895795200).

5291222400 is an abundant number, since it is smaller than the sum of its proper divisors (14500368000).

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

5291222400 is a wasteful number, since it uses less digits than its factorization.

5291222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5291222400 is about 72740.7891076252. The cubic root of 5291222400 is about 1742.5503623019.

The spelling of 5291222400 in words is "five billion, two hundred ninety-one million, two hundred twenty-two thousand, four hundred".