5376579984000 has 512 divisors, whose sum is σ = 20442617395200. Its totient is φ = 1387501056000.

The previous prime is 5376579983993. The next prime is 5376579984047. The reversal of 5376579984000 is 4899756735.

5376579984000 is a `hidden beast` number, since 5 + 3 + 76 + 5 + 79 + 98 + 400 + 0 = 666.

It is a super-2 number, since 2×5376579984000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13191262 + ... + 13592738.

It is an arithmetic number, because the mean of its divisors is an integer number (39926987100).

Almost surely, 2^{5376579984000} is an apocalyptic number.

5376579984000 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 5376579984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221308697600).

5376579984000 is an abundant number, since it is smaller than the sum of its proper divisors (15066037411200).

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

5376579984000 is a wasteful number, since it uses less digits than its factorization.

5376579984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401546 (or 401518 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 5376579984000 in words is "five trillion, three hundred seventy-six billion, five hundred seventy-nine million, nine hundred eighty-four thousand".