18877224960000 has 1500 divisors, whose sum is σ = 76917414392280. Its totient is φ = 4574085120000.

The previous prime is 18877224959927. The next prime is 18877224960017. The reversal of 18877224960000 is 6942277881.

It is a happy number.

18877224960000 is a `hidden beast` number, since 1 + 8 + 8 + 7 + 7 + 2 + 24 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1500).

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 99 ways as a sum of consecutive naturals, for example, 9123838966 + ... + 9123841034.

Almost surely, 2^{18877224960000} is an apocalyptic number.

18877224960000 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 18877224960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38458707196140).

18877224960000 is an abundant number, since it is smaller than the sum of its proper divisors (58040189432280).

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

18877224960000 is an frugal number, since it uses more digits than its factorization.

18877224960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 18877224960000 in words is "eighteen trillion, eight hundred seventy-seven billion, two hundred twenty-four million, nine hundred sixty thousand".