180910920960 has 2880 divisors, whose sum is σ = 902617841664. Its totient is φ = 33443020800.

The previous prime is 180910920947. The next prime is 180910920973. The reversal of 180910920960 is 69029019081.

It is an interprime number because it is at equal distance from previous prime (180910920947) and next prime (180910920973).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×180910920960² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4207230699 + ... + 4207230741.

Almost surely, 2^180910920960 is an apocalyptic number.

180910920960 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 180910920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451308920832).

180910920960 is an abundant number, since it is smaller than the sum of its proper divisors (721706920704).

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

180910920960 is a wasteful number, since it uses less digits than its factorization.

180910920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

It can be divided in two parts, 180910 and 920960, that added together give a triangular number (1101870 = T₁₄₈₄).

The spelling of 180910920960 in words is "one hundred eighty billion, nine hundred ten million, nine hundred twenty thousand, nine hundred sixty".