18895002001920 has 1280 divisors, whose sum is σ = 74371464921600. Its totient is φ = 4508944957440.

The previous prime is 18895002001867. The next prime is 18895002001943. The reversal of 18895002001920 is 2910020059881.

18895002001920 is a `hidden beast` number, since 18 + 89 + 500 + 20 + 0 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×18895002001920² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19826864164 + ... + 19826865116.

It is an arithmetic number, because the mean of its divisors is an integer number (58102706970).

Almost surely, 2^{18895002001920} is an apocalyptic number.

18895002001920 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 18895002001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37185732460800).

18895002001920 is an abundant number, since it is smaller than the sum of its proper divisors (55476462919680).

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

18895002001920 is a wasteful number, since it uses less digits than its factorization.

18895002001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 18895002001920 in words is "eighteen trillion, eight hundred ninety-five billion, two million, one thousand, nine hundred twenty".