20970751629828 has 384 divisors, whose sum is σ = 69923763302400. Its totient is φ = 4707662561280.

The previous prime is 20970751629799. The next prime is 20970751629857. The reversal of 20970751629828 is 82892615707902.

It is an interprime number because it is at equal distance from previous prime (20970751629799) and next prime (20970751629857).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39145323 + ... + 39677421.

It is an arithmetic number, because the mean of its divisors is an integer number (182093133600).

Almost surely, 2^{20970751629828} is an apocalyptic number.

20970751629828 is a gapful number since it is divisible by the number (28) 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 20970751629828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34961881651200).

20970751629828 is an abundant number, since it is smaller than the sum of its proper divisors (48953011672572).

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

20970751629828 is a wasteful number, since it uses less digits than its factorization.

20970751629828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532347 (or 532345 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 20970751629828 in words is "twenty trillion, nine hundred seventy billion, seven hundred fifty-one million, six hundred twenty-nine thousand, eight hundred twenty-eight".