5343648576000 has 1280 divisors, whose sum is σ = 21311355985920. Its totient is φ = 1162076160000.

The previous prime is 5343648575999. The next prime is 5343648576017. The reversal of 5343648576000 is 6758463435.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2767295035 + ... + 2767296965.

It is an arithmetic number, because the mean of its divisors is an integer number (16649496864).

Almost surely, 2^{5343648576000} is an apocalyptic number.

5343648576000 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 5343648576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10655677992960).

5343648576000 is an abundant number, since it is smaller than the sum of its proper divisors (15967707409920).

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

5343648576000 is a wasteful number, since it uses less digits than its factorization.

5343648576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 5343648576000 in words is "five trillion, three hundred forty-three billion, six hundred forty-eight million, five hundred seventy-six thousand".