5526961827840 has 624 divisors, whose sum is σ = 19936806978816. Its totient is φ = 1468705996800.

The previous prime is 5526961827833. The next prime is 5526961827847. The reversal of 5526961827840 is 487281696255.

5526961827840 is a `hidden beast` number, since 5 + 5 + 2 + 6 + 9 + 618 + 2 + 7 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5526961827833) and next prime (5526961827847).

It is not an unprimeable number, because it can be changed into a prime (5526961827847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1547733255 + ... + 1547736825.

It is an arithmetic number, because the mean of its divisors is an integer number (31950011184).

Almost surely, 2^{5526961827840} 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 5526961827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9968403489408).

5526961827840 is an abundant number, since it is smaller than the sum of its proper divisors (14409845150976).

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

5526961827840 is an equidigital number, since it uses as much as digits as its factorization.

5526961827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 5526961827840 in words is "five trillion, five hundred twenty-six billion, nine hundred sixty-one million, eight hundred twenty-seven thousand, eight hundred forty".