20102980907680 has 1152 divisors, whose sum is σ = 59108710348800. Its totient is φ = 6423227965440.

The previous prime is 20102980907677. The next prime is 20102980907683. The reversal of 20102980907680 is 8670908920102.

It is an interprime number because it is at equal distance from previous prime (20102980907677) and next prime (20102980907683).

It is not an unprimeable number, because it can be changed into a prime (20102980907683) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47978474511 + ... + 47978474929.

It is an arithmetic number, because the mean of its divisors is an integer number (51309644400).

Almost surely, 2^{20102980907680} is an apocalyptic number.

20102980907680 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 20102980907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29554355174400).

20102980907680 is an abundant number, since it is smaller than the sum of its proper divisors (39005729441120).

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

20102980907680 is a wasteful number, since it uses less digits than its factorization.

20102980907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 20102980907680 in words is "twenty trillion, one hundred two billion, nine hundred eighty million, nine hundred seven thousand, six hundred eighty".