5251563233280 has 1344 divisors, whose sum is σ = 23016289540608. Its totient is φ = 1077820784640.

The previous prime is 5251563233149. The next prime is 5251563233299. The reversal of 5251563233280 is 823323651525.

5251563233280 is a `hidden beast` number, since 5 + 2 + 5 + 1 + 5 + 632 + 3 + 3 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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 95 ways as a sum of consecutive naturals, for example, 1241208765 + ... + 1241212995.

It is an arithmetic number, because the mean of its divisors is an integer number (17125215432).

Almost surely, 2^{5251563233280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5251563233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11508144770304).

5251563233280 is an abundant number, since it is smaller than the sum of its proper divisors (17764726307328).

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

5251563233280 is a wasteful number, since it uses less digits than its factorization.

5251563233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 5251563233280 in words is "five trillion, two hundred fifty-one billion, five hundred sixty-three million, two hundred thirty-three thousand, two hundred eighty".