5155550400 has 1344 divisors, whose sum is σ = 24128455680. Its totient is φ = 928972800.

The previous prime is 5155550333. The next prime is 5155550431. The reversal of 5155550400 is 40555515.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139339182 + ... + 139339218.

It is an arithmetic number, because the mean of its divisors is an integer number (17952720).

Almost surely, 2^5155550400 is an apocalyptic number.

5155550400 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 5155550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064227840).

5155550400 is an abundant number, since it is smaller than the sum of its proper divisors (18972905280).

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

5155550400 is a wasteful number, since it uses less digits than its factorization.

5155550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 30.

The square root of 5155550400 is about 71802.1615273524. The cubic root of 5155550400 is about 1727.5276701168.

It can be divided in two parts, 5155 and 550400, that added together give a palindrome (555555).

The spelling of 5155550400 in words is "five billion, one hundred fifty-five million, five hundred fifty thousand, four hundred".