18827161637760 has 2048 divisors, whose sum is σ = 81783912038400. Its totient is φ = 4000008241152.

The previous prime is 18827161637759. The next prime is 18827161637771. The reversal of 18827161637760 is 6773616172881.

18827161637760 is a `hidden beast` number, since 1 + 8 + 8 + 2 + 7 + 1 + 616 + 3 + 7 + 7 + 6 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 40315121047 + ... + 40315121513.

It is an arithmetic number, because the mean of its divisors is an integer number (39933550800).

Almost surely, 2^{18827161637760} is an apocalyptic number.

18827161637760 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 18827161637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40891956019200).

18827161637760 is an abundant number, since it is smaller than the sum of its proper divisors (62956750400640).

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

18827161637760 is a wasteful number, since it uses less digits than its factorization.

18827161637760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 18827161637760 in words is "eighteen trillion, eight hundred twenty-seven billion, one hundred sixty-one million, six hundred thirty-seven thousand, seven hundred sixty".