20628937082880 has 576 divisors, whose sum is σ = 82628249558400. Its totient is φ = 4662193029120.

The previous prime is 20628937082879. The next prime is 20628937082881. The reversal of 20628937082880 is 8828073982602.

20628937082880 is a `hidden beast` number, since 2 + 0 + 6 + 289 + 3 + 70 + 8 + 288 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20628937082879) and next prime (20628937082881).

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20628937082881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57236035 + ... + 57595325.

It is an arithmetic number, because the mean of its divisors is an integer number (143451822150).

Almost surely, 2^{20628937082880} is an apocalyptic number.

20628937082880 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 20628937082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41314124779200).

20628937082880 is an abundant number, since it is smaller than the sum of its proper divisors (61999312475520).

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

20628937082880 is a wasteful number, since it uses less digits than its factorization.

20628937082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359420 (or 359397 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 20628937082880 in words is "twenty trillion, six hundred twenty-eight billion, nine hundred thirty-seven million, eighty-two thousand, eight hundred eighty".