18134727977520 has 1280 divisors, whose sum is σ = 82528163573760. Its totient is φ = 3543588864000.

The previous prime is 18134727977501. The next prime is 18134727977603. The reversal of 18134727977520 is 2577972743181.

18134727977520 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 472 + 7 + 97 + 75 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4899951670 + ... + 4899955370.

It is an arithmetic number, because the mean of its divisors is an integer number (64475127792).

Almost surely, 2^{18134727977520} is an apocalyptic number.

18134727977520 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 18134727977520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41264081786880).

18134727977520 is an abundant number, since it is smaller than the sum of its proper divisors (64393435596240).

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

18134727977520 is a wasteful number, since it uses less digits than its factorization.

18134727977520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 18134727977520 in words is "eighteen trillion, one hundred thirty-four billion, seven hundred twenty-seven million, nine hundred seventy-seven thousand, five hundred twenty".