5327929344000 has 576 divisors, whose sum is σ = 18032099746752. Its totient is φ = 1396703232000.

The previous prime is 5327929343987. The next prime is 5327929344013. The reversal of 5327929344000 is 4439297235.

It is an interprime number because it is at equal distance from previous prime (5327929343987) and next prime (5327929344013).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2998271112 + ... + 2998272888.

It is an arithmetic number, because the mean of its divisors is an integer number (31305728727).

Almost surely, 2^{5327929344000} is an apocalyptic number.

5327929344000 is a gapful number since it is divisible by the number (50) 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 5327929344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016049873376).

5327929344000 is an abundant number, since it is smaller than the sum of its proper divisors (12704170402752).

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

5327929344000 is an frugal number, since it uses more digits than its factorization.

5327929344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 5327929344000 in words is "five trillion, three hundred twenty-seven billion, nine hundred twenty-nine million, three hundred forty-four thousand".