18106260480 has 1188 divisors, whose sum is σ = 82673138808. Its totient is φ = 3762339840.

The previous prime is 18106260451. The next prime is 18106260493. The reversal of 18106260480 is 8406260181.

18106260480 is a `hidden beast` number, since 18 + 10 + 626 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1188).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1646023675 + ... + 1646023685.

Almost surely, 2^18106260480 is an apocalyptic number.

18106260480 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 18106260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41336569404).

18106260480 is an abundant number, since it is smaller than the sum of its proper divisors (64566878328).

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

18106260480 is an frugal number, since it uses more digits than its factorization.

18106260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18106260480 in words is "eighteen billion, one hundred six million, two hundred sixty thousand, four hundred eighty".