18893952000 has 1408 divisors, whose sum is σ = 88288911360. Its totient is φ = 3870720000.

The previous prime is 18893951957. The next prime is 18893952017. The reversal of 18893952000 is 25939881.

It is a happy number.

18893952000 is a `hidden beast` number, since 18 + 89 + 39 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 266111965 + ... + 266112035.

Almost surely, 2^18893952000 is an apocalyptic number.

18893952000 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 18893952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44144455680).

18893952000 is an abundant number, since it is smaller than the sum of its proper divisors (69394959360).

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

18893952000 is a wasteful number, since it uses less digits than its factorization.

18893952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 18893952000 in words is "eighteen billion, eight hundred ninety-three million, nine hundred fifty-two thousand".