18517572480 has 512 divisors, whose sum is σ = 66815124480. Its totient is φ = 4323737600.

The previous prime is 18517572467. The next prime is 18517572497. The reversal of 18517572480 is 8427571581.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79474444 + ... + 79474676.

It is an arithmetic number, because the mean of its divisors is an integer number (130498290).

Almost surely, 2^18517572480 is an apocalyptic number.

18517572480 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 18517572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33407562240).

18517572480 is an abundant number, since it is smaller than the sum of its proper divisors (48297552000).

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

18517572480 is a wasteful number, since it uses less digits than its factorization.

18517572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 48.

The spelling of 18517572480 in words is "eighteen billion, five hundred seventeen million, five hundred seventy-two thousand, four hundred eighty".