5370948238656 has 1344 divisors, whose sum is σ = 20008716456960. Its totient is φ = 1249189724160.

The previous prime is 5370948238627. The next prime is 5370948238673. The reversal of 5370948238656 is 6568328490735.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 13131902580 + ... + 13131902988.

It is an arithmetic number, because the mean of its divisors is an integer number (14887437840).

Almost surely, 2^{5370948238656} is an apocalyptic number.

5370948238656 is a gapful number since it is divisible by the number (56) 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 5370948238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10004358228480).

5370948238656 is an abundant number, since it is smaller than the sum of its proper divisors (14637768218304).

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

5370948238656 is a wasteful number, since it uses less digits than its factorization.

5370948238656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 66.

The spelling of 5370948238656 in words is "five trillion, three hundred seventy billion, nine hundred forty-eight million, two hundred thirty-eight thousand, six hundred fifty-six".