180786835401984 has 1152 divisors, whose sum is σ = 644425486172160. Its totient is φ = 48910417920000.

The previous prime is 180786835401973. The next prime is 180786835402001. The reversal of 180786835401984 is 489104538687081.

It is a happy number.

180786835401984 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 8 + 68 + 3 + 540 + 19 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×180786835401984² (a number of 29 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 13905603484 + ... + 13905616484.

Almost surely, 2^{180786835401984} is an apocalyptic number.

180786835401984 is a gapful number since it is divisible by the number (14) 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 180786835401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322212743086080).

180786835401984 is an abundant number, since it is smaller than the sum of its proper divisors (463638650770176).

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

180786835401984 is a wasteful number, since it uses less digits than its factorization.

180786835401984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13264 (or 13244 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 180786835401984 in words is "one hundred eighty trillion, seven hundred eighty-six billion, eight hundred thirty-five million, four hundred one thousand, nine hundred eighty-four".