18269521920 has 1152 divisors, whose sum is σ = 77696236800. Its totient is φ = 4048551936.

The previous prime is 18269521891. The next prime is 18269521961. The reversal of 18269521920 is 2912596281.

It is a happy number.

18269521920 is a `hidden beast` number, since 18 + 26 + 9 + 521 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 794327029 + ... + 794327051.

It is an arithmetic number, because the mean of its divisors is an integer number (67444650).

Almost surely, 2^18269521920 is an apocalyptic number.

18269521920 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 18269521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38848118400).

18269521920 is an abundant number, since it is smaller than the sum of its proper divisors (59426714880).

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

18269521920 is a wasteful number, since it uses less digits than its factorization.

18269521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 18269521920 in words is "eighteen billion, two hundred sixty-nine million, five hundred twenty-one thousand, nine hundred twenty".