18856992000 has 576 divisors, whose sum is σ = 78119129088. Its totient is φ = 3916800000.

The previous prime is 18856991999. The next prime is 18856992013. The reversal of 18856992000 is 29965881.

It is a happy number.

It is a super-2 number, since 2×18856992000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7390725 + ... + 7393275.

It is an arithmetic number, because the mean of its divisors is an integer number (135623488).

Almost surely, 2^18856992000 is an apocalyptic number.

18856992000 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 18856992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39059564544).

18856992000 is an abundant number, since it is smaller than the sum of its proper divisors (59262137088).

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

18856992000 is a wasteful number, since it uses less digits than its factorization.

18856992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 18856992000 in words is "eighteen billion, eight hundred fifty-six million, nine hundred ninety-two thousand".