18976138282880 has 1024 divisors, whose sum is σ = 51560717598720. Its totient is φ = 6653963796480.

The previous prime is 18976138282873. The next prime is 18976138282891. The reversal of 18976138282880 is 8828283167981.

It is a Harshad number since it is a multiple of its sum of digits (71).

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, 96325574942 + ... + 96325575138.

It is an arithmetic number, because the mean of its divisors is an integer number (50352263280).

Almost surely, 2^{18976138282880} is an apocalyptic number.

18976138282880 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 18976138282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25780358799360).

18976138282880 is an abundant number, since it is smaller than the sum of its proper divisors (32584579315840).

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

18976138282880 is a wasteful number, since it uses less digits than its factorization.

18976138282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 71.

The spelling of 18976138282880 in words is "eighteen trillion, nine hundred seventy-six billion, one hundred thirty-eight million, two hundred eighty-two thousand, eight hundred eighty".