5348726656000 has 1408 divisors, whose sum is σ = 17184455608320. Its totient is φ = 1616412672000.

The previous prime is 5348726655989. The next prime is 5348726656051. The reversal of 5348726656000 is 6566278435.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 29550975910 + ... + 29550976090.

It is an arithmetic number, because the mean of its divisors is an integer number (12204869040).

Almost surely, 2^{5348726656000} is an apocalyptic number.

5348726656000 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 5348726656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592227804160).

5348726656000 is an abundant number, since it is smaller than the sum of its proper divisors (11835728952320).

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

5348726656000 is a wasteful number, since it uses less digits than its factorization.

5348726656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 5348726656000 in words is "five trillion, three hundred forty-eight billion, seven hundred twenty-six million, six hundred fifty-six thousand".