5348956279680 has 1536 divisors, whose sum is σ = 22993934745600. Its totient is φ = 1173850030080.

The previous prime is 5348956279657. The next prime is 5348956279721. The reversal of 5348956279680 is 869726598435.

It is a happy number.

5348956279680 is a `hidden beast` number, since 5 + 3 + 489 + 5 + 62 + 7 + 9 + 6 + 80 = 666.

It is a super-2 number, since 2×5348956279680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5348956279599 and 5348956279608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 653024385 + ... + 653032575.

It is an arithmetic number, because the mean of its divisors is an integer number (14970009600).

Almost surely, 2^{5348956279680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5348956279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496967372800).

5348956279680 is an abundant number, since it is smaller than the sum of its proper divisors (17644978465920).

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

5348956279680 is a wasteful number, since it uses less digits than its factorization.

5348956279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 5348956279680 in words is "five trillion, three hundred forty-eight billion, nine hundred fifty-six million, two hundred seventy-nine thousand, six hundred eighty".