5357278867680 has 720 divisors, whose sum is σ = 20957879748960. Its totient is φ = 1286091620352.

The previous prime is 5357278867679. The next prime is 5357278867693. The reversal of 5357278867680 is 867688727535.

5357278867680 is a `hidden beast` number, since 535 + 7 + 2 + 7 + 8 + 8 + 6 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 5357278867599 and 5357278867608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86114026 + ... + 86176214.

It is an arithmetic number, because the mean of its divisors is an integer number (29108166318).

Almost surely, 2^{5357278867680} 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 5357278867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478939874480).

5357278867680 is an abundant number, since it is smaller than the sum of its proper divisors (15600600881280).

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

5357278867680 is a wasteful number, since it uses less digits than its factorization.

5357278867680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62273 (or 62239 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 5357278867680 in words is "five trillion, three hundred fifty-seven billion, two hundred seventy-eight million, eight hundred sixty-seven thousand, six hundred eighty".