5526327803904 has 630 divisors, whose sum is σ = 17613989386434. Its totient is φ = 1732666982400.

The previous prime is 5526327803837. The next prime is 5526327803981. The reversal of 5526327803904 is 4093087236255.

5526327803904 is a `hidden beast` number, since 5 + 526 + 3 + 2 + 7 + 80 + 39 + 0 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4185919586304 + 1340408217600 = 2045952^2 + 1157760^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3451796704 + ... + 3451798304.

Almost surely, 2^{5526327803904} is an apocalyptic number.

5526327803904 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 5526327803904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806994693217).

5526327803904 is an abundant number, since it is smaller than the sum of its proper divisors (12087661582530).

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

5526327803904 is an frugal number, since it uses more digits than its factorization.

5526327803904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 5526327803904 in words is "five trillion, five hundred twenty-six billion, three hundred twenty-seven million, eight hundred three thousand, nine hundred four".