180107380890 has 48 divisors (see below), whose sum is σ = 471261897288. Its totient is φ = 47722716288.

The previous prime is 180107380879. The next prime is 180107380897. The reversal of 180107380890 is 98083701081.

180107380890 is a `hidden beast` number, since 1 + 80 + 107 + 380 + 8 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68451826689 + 111655554201 = 261633^2 + 334149^2 .

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

It is not an unprimeable number, because it can be changed into a prime (180107380897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6359097 + ... + 6387356.

Almost surely, 2^180107380890 is an apocalyptic number.

180107380890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180107380890 is an abundant number, since it is smaller than the sum of its proper divisors (291154516398).

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

180107380890 is a wasteful number, since it uses less digits than its factorization.

180107380890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12746623 (or 12746620 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 180107380890 in words is "one hundred eighty billion, one hundred seven million, three hundred eighty thousand, eight hundred ninety".