5215522435200 has 3840 divisors, whose sum is σ = 26073093120000. Its totient is φ = 993586176000.

The previous prime is 5215522435187. The next prime is 5215522435241. The reversal of 5215522435200 is 25342255125.

5215522435200 is a `hidden beast` number, since 5 + 2 + 15 + 5 + 2 + 2 + 435 + 200 = 666.

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

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 479 ways as a sum of consecutive naturals, for example, 168242659185 + ... + 168242659215.

It is an arithmetic number, because the mean of its divisors is an integer number (6789868000).

Almost surely, 2^{5215522435200} is an apocalyptic number.

5215522435200 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 5215522435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036546560000).

5215522435200 is an abundant number, since it is smaller than the sum of its proper divisors (20857570684800).

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

5215522435200 is a wasteful number, since it uses less digits than its factorization.

5215522435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 5215522435200 in words is "five trillion, two hundred fifteen billion, five hundred twenty-two million, four hundred thirty-five thousand, two hundred".