5155522400 has 144 divisors (see below), whose sum is σ = 14416577280. Its totient is φ = 1763596800.

The previous prime is 5155522397. The next prime is 5155522417. The reversal of 5155522400 is 42255515.

It is a super-2 number, since 2×5155522400² = 53158822433803520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3532871 + ... + 3534329.

It is an arithmetic number, because the mean of its divisors is an integer number (100115120).

Almost surely, 2^5155522400 is an apocalyptic number.

5155522400 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 5155522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208288640).

5155522400 is an abundant number, since it is smaller than the sum of its proper divisors (9261054880).

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

5155522400 is a wasteful number, since it uses less digits than its factorization.

5155522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 29.

The square root of 5155522400 is about 71801.9665468851. The cubic root of 5155522400 is about 1727.5245426872.

Adding to 5155522400 its reverse (42255515), we get a palindrome (5197777915).

The spelling of 5155522400 in words is "five billion, one hundred fifty-five million, five hundred twenty-two thousand, four hundred".