5158226400 has 576 divisors, whose sum is σ = 18898790400. Its totient is φ = 1216512000.

The previous prime is 5158226363. The next prime is 5158226401. The reversal of 5158226400 is 46228515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5158226401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57957556 + ... + 57957644.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 2^5158226400 is an apocalyptic number.

5158226400 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 5158226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9449395200).

5158226400 is an abundant number, since it is smaller than the sum of its proper divisors (13740564000).

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

5158226400 is a wasteful number, since it uses less digits than its factorization.

5158226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5158226400 is about 71820.7936464086. The cubic root of 5158226400 is about 1727.8265107889.

The spelling of 5158226400 in words is "five billion, one hundred fifty-eight million, two hundred twenty-six thousand, four hundred".