5338577069280 has 1152 divisors, whose sum is σ = 23397649486848. Its totient is φ = 1119349850112.

The previous prime is 5338577069261. The next prime is 5338577069317. The reversal of 5338577069280 is 829607758335.

5338577069280 is a `hidden beast` number, since 5 + 3 + 38 + 577 + 0 + 6 + 9 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 576702412 + ... + 576711668.

It is an arithmetic number, because the mean of its divisors is an integer number (20310459624).

Almost surely, 2^{5338577069280} 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 5338577069280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11698824743424).

5338577069280 is an abundant number, since it is smaller than the sum of its proper divisors (18059072417568).

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

5338577069280 is a wasteful number, since it uses less digits than its factorization.

5338577069280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9470 (or 9450 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 5338577069280 in words is "five trillion, three hundred thirty-eight billion, five hundred seventy-seven million, sixty-nine thousand, two hundred eighty".