290020011216192 has 448 divisors, whose sum is σ = 914263808532480. Its totient is φ = 90950803292160.

The previous prime is 290020011216181. The next prime is 290020011216193. The reversal of 290020011216192 is 291612110020092.

290020011216192 is a `hidden beast` number, since 2 + 9 + 0 + 0 + 2 + 0 + 0 + 11 + 21 + 619 + 2 = 666.

It is a super-2 number, since 2×290020011216192² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290020011216193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6393575592 + ... + 6393620952.

It is an arithmetic number, because the mean of its divisors is an integer number (2040767429760).

Almost surely, 2^{290020011216192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290020011216192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457131904266240).

290020011216192 is an abundant number, since it is smaller than the sum of its proper divisors (624243797316288).

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

290020011216192 is an equidigital number, since it uses as much as digits as its factorization.

290020011216192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48098 (or 48070 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 290020011216192 in words is "two hundred ninety trillion, twenty billion, eleven million, two hundred sixteen thousand, one hundred ninety-two".