180685379137536 has 1040 divisors, whose sum is σ = 669564525256704. Its totient is φ = 47277060784128.

The previous prime is 180685379137423. The next prime is 180685379137559. The reversal of 180685379137536 is 635731973586081.

180685379137536 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 8 + 5 + 3 + 79 + 13 + 7 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3834311671 + ... + 3834358793.

Almost surely, 2^{180685379137536} is an apocalyptic number.

180685379137536 is a gapful number since it is divisible by the number (16) 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 180685379137536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334782262628352).

180685379137536 is an abundant number, since it is smaller than the sum of its proper divisors (488879146119168).

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

180685379137536 is a wasteful number, since it uses less digits than its factorization.

180685379137536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47306 (or 47275 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 180685379137536 in words is "one hundred eighty trillion, six hundred eighty-five billion, three hundred seventy-nine million, one hundred thirty-seven thousand, five hundred thirty-six".