5152222857600 has 2304 divisors, whose sum is σ = 24850964436480. Its totient is φ = 1022878679040.

The previous prime is 5152222857581. The next prime is 5152222857671. The reversal of 5152222857600 is 67582222515.

5152222857600 is a `hidden beast` number, since 5 + 1 + 52 + 2 + 2 + 28 + 576 + 0 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1202945059 + ... + 1202949341.

It is an arithmetic number, because the mean of its divisors is an integer number (10786008870).

Almost surely, 2^{5152222857600} is an apocalyptic number.

5152222857600 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 5152222857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12425482218240).

5152222857600 is an abundant number, since it is smaller than the sum of its proper divisors (19698741578880).

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

5152222857600 is a wasteful number, since it uses less digits than its factorization.

5152222857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4330 counting only the distinct ones).

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

The spelling of 5152222857600 in words is "five trillion, one hundred fifty-two billion, two hundred twenty-two million, eight hundred fifty-seven thousand, six hundred".