183972216960 has 1152 divisors, whose sum is σ = 772024780800. Its totient is φ = 40215232512.

The previous prime is 183972216947. The next prime is 183972217031. The reversal of 183972216960 is 69612279381.

183972216960 is a `hidden beast` number, since 18 + 397 + 22 + 169 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×183972216960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 183972216897 and 183972216906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 824987409 + ... + 824987631.

It is an arithmetic number, because the mean of its divisors is an integer number (670160400).

Almost surely, 2^183972216960 is an apocalyptic number.

183972216960 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 183972216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386012390400).

183972216960 is an abundant number, since it is smaller than the sum of its proper divisors (588052563840).

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

183972216960 is a wasteful number, since it uses less digits than its factorization.

183972216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 183972216960 in words is "one hundred eighty-three billion, nine hundred seventy-two million, two hundred sixteen thousand, nine hundred sixty".