5531752030464 has 1152 divisors, whose sum is σ = 19115357184000. Its totient is φ = 1581645864960.

The previous prime is 5531752030367. The next prime is 5531752030477. The reversal of 5531752030464 is 4640302571355.

5531752030464 is a `hidden beast` number, since 5 + 5 + 31 + 7 + 520 + 30 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8394160567 + ... + 8394161225.

It is an arithmetic number, because the mean of its divisors is an integer number (16593192000).

Almost surely, 2^{5531752030464} is an apocalyptic number.

5531752030464 is a gapful number since it is divisible by the number (54) 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 5531752030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9557678592000).

5531752030464 is an abundant number, since it is smaller than the sum of its proper divisors (13583605153536).

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

5531752030464 is an equidigital number, since it uses as much as digits as its factorization.

5531752030464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 5531752030464 in words is "five trillion, five hundred thirty-one billion, seven hundred fifty-two million, thirty thousand, four hundred sixty-four".