5386155264000 has 4032 divisors, whose sum is σ = 25471439884800. Its totient is φ = 1128701952000.

The previous prime is 5386155263987. The next prime is 5386155264029. The reversal of 5386155264000 is 4625516835.

5386155264000 is a `hidden beast` number, since 5 + 3 + 8 + 615 + 5 + 26 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 173746943985 + ... + 173746944015.

It is an arithmetic number, because the mean of its divisors is an integer number (6317321400).

Almost surely, 2^{5386155264000} is an apocalyptic number.

5386155264000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5386155264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12735719942400).

5386155264000 is an abundant number, since it is smaller than the sum of its proper divisors (20085284620800).

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

5386155264000 is an equidigital number, since it uses as much as digits as its factorization.

5386155264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 5386155264000 in words is "five trillion, three hundred eighty-six billion, one hundred fifty-five million, two hundred sixty-four thousand".