5051524867200 has 1152 divisors, whose sum is σ = 22444923254400. Its totient is φ = 1086676992000.

The previous prime is 5051524867187. The next prime is 5051524867237. The reversal of 5051524867200 is 27684251505.

5051524867200 is a `hidden beast` number, since 5 + 0 + 51 + 52 + 486 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 174772750 + ... + 174801650.

It is an arithmetic number, because the mean of its divisors is an integer number (19483440325).

Almost surely, 2^{5051524867200} is an apocalyptic number.

5051524867200 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 5051524867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11222461627200).

5051524867200 is an abundant number, since it is smaller than the sum of its proper divisors (17393398387200).

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

5051524867200 is a wasteful number, since it uses less digits than its factorization.

5051524867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28975 (or 28935 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 5051524867200 in words is "five trillion, fifty-one billion, five hundred twenty-four million, eight hundred sixty-seven thousand, two hundred".