18897742800 has 240 divisors, whose sum is σ = 67418839680. Its totient is φ = 5027650560.

The previous prime is 18897742789. The next prime is 18897742811. The reversal of 18897742800 is 824779881.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18897742789) and next prime (18897742811).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5257804 + ... + 5261396.

It is an arithmetic number, because the mean of its divisors is an integer number (280911832).

Almost surely, 2^18897742800 is an apocalyptic number.

18897742800 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 18897742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33709419840).

18897742800 is an abundant number, since it is smaller than the sum of its proper divisors (48521096880).

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

18897742800 is a wasteful number, since it uses less digits than its factorization.

18897742800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 18897742800 in words is "eighteen billion, eight hundred ninety-seven million, seven hundred forty-two thousand, eight hundred".