5516271582624 has 1440 divisors, whose sum is σ = 19528384296960. Its totient is φ = 1520925880320.

The previous prime is 5516271582583. The next prime is 5516271582637. The reversal of 5516271582624 is 4262851726155.

5516271582624 is a `hidden beast` number, since 5 + 5 + 1 + 6 + 2 + 7 + 1 + 5 + 8 + 2 + 624 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 28001378494 + ... + 28001378690.

It is an arithmetic number, because the mean of its divisors is an integer number (13561377984).

Almost surely, 2^{5516271582624} is an apocalyptic number.

5516271582624 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 5516271582624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9764192148480).

5516271582624 is an abundant number, since it is smaller than the sum of its proper divisors (14012112714336).

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

5516271582624 is a wasteful number, since it uses less digits than its factorization.

5516271582624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 396 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 5516271582624 in words is "five trillion, five hundred sixteen billion, two hundred seventy-one million, five hundred eighty-two thousand, six hundred twenty-four".