5387635169280 has 4608 divisors, whose sum is σ = 26705088184320. Its totient is φ = 971652464640.

The previous prime is 5387635169251. The next prime is 5387635169327. The reversal of 5387635169280 is 829615367835.

5387635169280 is a `hidden beast` number, since 5 + 38 + 7 + 6 + 3 + 516 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×5387635169280² (a number of 26 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 101653493734 + ... + 101653493786.

It is an arithmetic number, because the mean of its divisors is an integer number (5795375040).

Almost surely, 2^{5387635169280} 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 5387635169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13352544092160).

5387635169280 is an abundant number, since it is smaller than the sum of its proper divisors (21317453015040).

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

5387635169280 is a wasteful number, since it uses less digits than its factorization.

5387635169280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 5387635169280 in words is "five trillion, three hundred eighty-seven billion, six hundred thirty-five million, one hundred sixty-nine thousand, two hundred eighty".