18529096960 has 288 divisors, whose sum is σ = 51655968000. Its totient is φ = 6293422080.

The previous prime is 18529096921. The next prime is 18529096973. The reversal of 18529096960 is 6969092581.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47632446 + ... + 47632834.

It is an arithmetic number, because the mean of its divisors is an integer number (179361000).

Almost surely, 2^18529096960 is an apocalyptic number.

18529096960 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 18529096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25827984000).

18529096960 is an abundant number, since it is smaller than the sum of its proper divisors (33126871040).

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

18529096960 is a wasteful number, since it uses less digits than its factorization.

18529096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The spelling of 18529096960 in words is "eighteen billion, five hundred twenty-nine million, ninety-six thousand, nine hundred sixty".