20212928998080 has 896 divisors, whose sum is σ = 85825312849920. Its totient is φ = 3909907169280.

The previous prime is 20212928998079. The next prime is 20212928998081. The reversal of 20212928998080 is 8089982921202.

It is an interprime number because it is at equal distance from previous prime (20212928998079) and next prime (20212928998081).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (20212928998081) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 51258627 + ... + 51651453.

It is an arithmetic number, because the mean of its divisors is an integer number (95787179520).

Almost surely, 2^{20212928998080} is an apocalyptic number.

20212928998080 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 20212928998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42912656424960).

20212928998080 is an abundant number, since it is smaller than the sum of its proper divisors (65612383851840).

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

20212928998080 is a wasteful number, since it uses less digits than its factorization.

20212928998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392917 (or 392907 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The spelling of 20212928998080 in words is "twenty trillion, two hundred twelve billion, nine hundred twenty-eight million, nine hundred ninety-eight thousand, eighty".