18201772512 has 864 divisors, whose sum is σ = 70270986240. Its totient is φ = 4364236800.

The previous prime is 18201772487. The next prime is 18201772531. The reversal of 18201772512 is 21527710281.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 219298423 + ... + 219298505.

It is an arithmetic number, because the mean of its divisors is an integer number (81332160).

Almost surely, 2^18201772512 is an apocalyptic number.

18201772512 is a gapful number since it is divisible by the number (12) 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 18201772512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35135493120).

18201772512 is an abundant number, since it is smaller than the sum of its proper divisors (52069213728).

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

18201772512 is a wasteful number, since it uses less digits than its factorization.

18201772512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 18201772512 in words is "eighteen billion, two hundred one million, seven hundred seventy-two thousand, five hundred twelve".