5251454968320 has 2560 divisors, whose sum is σ = 22288423449600. Its totient is φ = 1159358054400.

The previous prime is 5251454968313. The next prime is 5251454968451. The reversal of 5251454968320 is 238694541525.

5251454968320 is a `hidden beast` number, since 5 + 2 + 5 + 1 + 4 + 549 + 68 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 33448757682 + ... + 33448757838.

It is an arithmetic number, because the mean of its divisors is an integer number (8706415410).

Almost surely, 2^{5251454968320} 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 5251454968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144211724800).

5251454968320 is an abundant number, since it is smaller than the sum of its proper divisors (17036968481280).

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

5251454968320 is a wasteful number, since it uses less digits than its factorization.

5251454968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 5251454968320 in words is "five trillion, two hundred fifty-one billion, four hundred fifty-four million, nine hundred sixty-eight thousand, three hundred twenty".