180090028753920 has 352 divisors, whose sum is σ = 647908812714240. Its totient is φ = 48024004681728.

The previous prime is 180090028753883. The next prime is 180090028753931. The reversal of 180090028753920 is 29357820090081.

180090028753920 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 9 + 0 + 0 + 2 + 87 + 539 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3155869 + ... + 19239011.

It is an arithmetic number, because the mean of its divisors is an integer number (1840650036120).

Almost surely, 2^{180090028753920} is an apocalyptic number.

180090028753920 is a gapful number since it is divisible by the number (10) 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 180090028753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323954406357120).

180090028753920 is an abundant number, since it is smaller than the sum of its proper divisors (467818783960320).

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

180090028753920 is an frugal number, since it uses more digits than its factorization.

180090028753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16083189 (or 16083153 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 180090028753920 in words is "one hundred eighty trillion, ninety billion, twenty-eight million, seven hundred fifty-three thousand, nine hundred twenty".