386201090785536 has 1296 divisors, whose sum is σ = 1293761553686784. Its totient is φ = 114759678099456.

The previous prime is 386201090785519. The next prime is 386201090785597. The reversal of 386201090785536 is 635587090102683.

386201090785536 is a `hidden beast` number, since 3 + 8 + 6 + 2 + 0 + 1 + 0 + 9 + 0 + 78 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53291163865 + ... + 53291171111.

Almost surely, 2^{386201090785536} is an apocalyptic number.

386201090785536 is a gapful number since it is divisible by the number (36) 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 386201090785536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646880776843392).

386201090785536 is an abundant number, since it is smaller than the sum of its proper divisors (907560462901248).

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

386201090785536 is a wasteful number, since it uses less digits than its factorization.

386201090785536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478 (or 7439 counting only the distinct ones).

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

The spelling of 386201090785536 in words is "three hundred eighty-six trillion, two hundred one billion, ninety million, seven hundred eighty-five thousand, five hundred thirty-six".