5155768800 has 1152 divisors, whose sum is σ = 23868472320. Its totient is φ = 1045094400.

The previous prime is 5155768763. The next prime is 5155768801. The reversal of 5155768800 is 88675515.

5155768800 is a `hidden beast` number, since 515 + 57 + 6 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5155768801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84520770 + ... + 84520830.

It is an arithmetic number, because the mean of its divisors is an integer number (20719160).

Almost surely, 2^5155768800 is an apocalyptic number.

5155768800 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 5155768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934236160).

5155768800 is an abundant number, since it is smaller than the sum of its proper divisors (18712703520).

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

5155768800 is a wasteful number, since it uses less digits than its factorization.

5155768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 5155768800 is about 71803.6823568262. The cubic root of 5155768800 is about 1727.5520636789.

The spelling of 5155768800 in words is "five billion, one hundred fifty-five million, seven hundred sixty-eight thousand, eight hundred".