18986516640 has 960 divisors, whose sum is σ = 87413001984. Its totient is φ = 3766321152.

The previous prime is 18986516621. The next prime is 18986516651. The reversal of 18986516640 is 4661568981.

18986516640 is a `hidden beast` number, since 1 + 8 + 9 + 86 + 516 + 6 + 40 = 666.

It is a super-3 number, since 3×18986516640³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20048647 + ... + 20049593.

Almost surely, 2^18986516640 is an apocalyptic number.

18986516640 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 18986516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43706500992).

18986516640 is an abundant number, since it is smaller than the sum of its proper divisors (68426485344).

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

18986516640 is a wasteful number, since it uses less digits than its factorization.

18986516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 18986516640 in words is "eighteen billion, nine hundred eighty-six million, five hundred sixteen thousand, six hundred forty".