10328022188820 has 288 divisors, whose sum is σ = 35947225886208. Its totient is φ = 2351241686016.

The previous prime is 10328022188807. The next prime is 10328022188831. The reversal of 10328022188820 is 2888122082301.

10328022188820 is a `hidden beast` number, since 1 + 0 + 328 + 0 + 221 + 8 + 88 + 20 = 666.

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, 1302887697 + ... + 1302895623.

Almost surely, 2^{10328022188820} is an apocalyptic number.

10328022188820 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 10328022188820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17973612943104).

10328022188820 is an abundant number, since it is smaller than the sum of its proper divisors (25619203697388).

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

10328022188820 is a wasteful number, since it uses less digits than its factorization.

10328022188820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11959 (or 11954 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 10328022188820 in words is "ten trillion, three hundred twenty-eight billion, twenty-two million, one hundred eighty-eight thousand, eight hundred twenty".