20074227964020 has 288 divisors, whose sum is σ = 66722329739520. Its totient is φ = 4862652641280.

The previous prime is 20074227963989. The next prime is 20074227964033. The reversal of 20074227964020 is 2046972247002.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240532419 + ... + 240615861.

It is an arithmetic number, because the mean of its divisors is an integer number (231674756040).

Almost surely, 2^{20074227964020} is an apocalyptic number.

20074227964020 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 20074227964020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33361164869760).

20074227964020 is an abundant number, since it is smaller than the sum of its proper divisors (46648101775500).

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

20074227964020 is a wasteful number, since it uses less digits than its factorization.

20074227964020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86215 (or 86210 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 20074227964020 in words is "twenty trillion, seventy-four billion, two hundred twenty-seven million, nine hundred sixty-four thousand, twenty".