5251521081600 has 2160 divisors, whose sum is σ = 21970681286400. Its totient is φ = 1229747650560.

The previous prime is 5251521081557. The next prime is 5251521081613. The reversal of 5251521081600 is 61801251525.

5251521081600 is a `hidden beast` number, since 5 + 2 + 51 + 521 + 0 + 81 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13228012602 + ... + 13228012998.

Almost surely, 2^{5251521081600} is an apocalyptic number.

5251521081600 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 5251521081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10985340643200).

5251521081600 is an abundant number, since it is smaller than the sum of its proper divisors (16719160204800).

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

5251521081600 is a wasteful number, since it uses less digits than its factorization.

5251521081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 5251521081600 in words is "five trillion, two hundred fifty-one billion, five hundred twenty-one million, eighty-one thousand, six hundred".