102660180480 has 480 divisors, whose sum is σ = 417712014720. Its totient is φ = 22972170240.

The previous prime is 102660180479. The next prime is 102660180503. The reversal of 102660180480 is 84081066201.

102660180480 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 601 + 8 + 0 + 48 + 0 = 666.

102660180480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×102660180480² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3279141 + ... + 3310299.

It is an arithmetic number, because the mean of its divisors is an integer number (870233364).

Almost surely, 2^102660180480 is an apocalyptic number.

102660180480 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 102660180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208856007360).

102660180480 is an abundant number, since it is smaller than the sum of its proper divisors (315051834240).

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

102660180480 is a wasteful number, since it uses less digits than its factorization.

102660180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31212 (or 31193 counting only the distinct ones).

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

The spelling of 102660180480 in words is "one hundred two billion, six hundred sixty million, one hundred eighty thousand, four hundred eighty".