18965537095680 has 2016 divisors, whose sum is σ = 80207906292864. Its totient is φ = 4213438414848.

The previous prime is 18965537095597. The next prime is 18965537095751. The reversal of 18965537095680 is 8659073556981.

It is a happy number.

18965537095680 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 5 + 53 + 7 + 0 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×18965537095680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18965537095599 and 18965537095608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 177248010187 + ... + 177248010293.

It is an arithmetic number, because the mean of its divisors is an integer number (39785667804).

Almost surely, 2^{18965537095680} is an apocalyptic number.

18965537095680 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 18965537095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40103953146432).

18965537095680 is an abundant number, since it is smaller than the sum of its proper divisors (61242369197184).

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

18965537095680 is an frugal number, since it uses more digits than its factorization.

18965537095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 18965537095680 in words is "eighteen trillion, nine hundred sixty-five billion, five hundred thirty-seven million, ninety-five thousand, six hundred eighty".