18549728870400 has 1872 divisors, whose sum is σ = 84812717930304. Its totient is φ = 3913788948480.

The previous prime is 18549728870389. The next prime is 18549728870423. The reversal of 18549728870400 is 407882794581.

18549728870400 is a `hidden beast` number, since 1 + 8 + 5 + 497 + 28 + 87 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1426902220794 + ... + 1426902220806.

Almost surely, 2^{18549728870400} is an apocalyptic number.

18549728870400 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 18549728870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42406358965152).

18549728870400 is an abundant number, since it is smaller than the sum of its proper divisors (66262989059904).

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

18549728870400 is an frugal number, since it uses more digits than its factorization.

18549728870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 18549728870400 in words is "eighteen trillion, five hundred forty-nine billion, seven hundred twenty-eight million, eight hundred seventy thousand, four hundred".