20164070074020 has 192 divisors, whose sum is σ = 60964683042816. Its totient is φ = 4960717332480.

The previous prime is 20164070073919. The next prime is 20164070074061. The reversal of 20164070074020 is 2047007046102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58591650 + ... + 58934790.

It is an arithmetic number, because the mean of its divisors is an integer number (317524390848).

Almost surely, 2^{20164070074020} is an apocalyptic number.

20164070074020 is a gapful number since it is divisible by the number (20) 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 20164070074020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30482341521408).

20164070074020 is an abundant number, since it is smaller than the sum of its proper divisors (40800612968796).

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

20164070074020 is a wasteful number, since it uses less digits than its factorization.

20164070074020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344310 (or 344308 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 20164070074020 in words is "twenty trillion, one hundred sixty-four billion, seventy million, seventy-four thousand, twenty".