18787129680 has 240 divisors, whose sum is σ = 64371612096. Its totient is φ = 4495226880.

The previous prime is 18787129637. The next prime is 18787129687. The reversal of 18787129680 is 8692178781.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×18787129680² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18787129680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18787129687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18186444 + ... + 18187476.

Almost surely, 2^18787129680 is an apocalyptic number.

18787129680 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 18787129680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32185806048).

18787129680 is an abundant number, since it is smaller than the sum of its proper divisors (45584482416).

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

18787129680 is a wasteful number, since it uses less digits than its factorization.

18787129680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 57.

The spelling of 18787129680 in words is "eighteen billion, seven hundred eighty-seven million, one hundred twenty-nine thousand, six hundred eighty".