182007197820 has 288 divisors, whose sum is σ = 642829824000. Its totient is φ = 40825354752.

The previous prime is 182007197807. The next prime is 182007197887. The reversal of 182007197820 is 28791700281.

182007197820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×182007197820² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16617706 + ... + 16628654.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048000).

Almost surely, 2^182007197820 is an apocalyptic number.

182007197820 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 182007197820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321414912000).

182007197820 is an abundant number, since it is smaller than the sum of its proper divisors (460822626180).

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

182007197820 is a wasteful number, since it uses less digits than its factorization.

182007197820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11217 (or 11212 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 182007197820 in words is "one hundred eighty-two billion, seven million, one hundred ninety-seven thousand, eight hundred twenty".