5536611269280 has 2304 divisors, whose sum is σ = 27061086528000. Its totient is φ = 1041415667712.

The previous prime is 5536611269249. The next prime is 5536611269303. The reversal of 5536611269280 is 829621166355.

5536611269280 is a `hidden beast` number, since 5 + 5 + 366 + 11 + 269 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 888841206 + ... + 888847434.

It is an arithmetic number, because the mean of its divisors is an integer number (11745263250).

Almost surely, 2^{5536611269280} 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 5536611269280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530543264000).

5536611269280 is an abundant number, since it is smaller than the sum of its proper divisors (21524475258720).

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

5536611269280 is a wasteful number, since it uses less digits than its factorization.

5536611269280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 5536611269280 in words is "five trillion, five hundred thirty-six billion, six hundred eleven million, two hundred sixty-nine thousand, two hundred eighty".