5155456500 has 144 divisors (see below), whose sum is σ = 16310011536. Its totient is φ = 1370880000.

The previous prime is 5155456459. The next prime is 5155456543. The reversal of 5155456500 is 56545515.

5155456500 is a `hidden beast` number, since 5 + 1 + 554 + 56 + 50 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 154703844 + 5000752656 = 12438^2 + 70716^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1803072 + ... + 1805928.

It is an arithmetic number, because the mean of its divisors is an integer number (113263969).

Almost surely, 2^5155456500 is an apocalyptic number.

5155456500 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 5155456500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155005768).

5155456500 is an abundant number, since it is smaller than the sum of its proper divisors (11154555036).

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

5155456500 is a wasteful number, since it uses less digits than its factorization.

5155456500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The square root of 5155456500 is about 71801.5076443385. The cubic root of 5155456500 is about 1727.5171820137.

The spelling of 5155456500 in words is "five billion, one hundred fifty-five million, four hundred fifty-six thousand, five hundred".