20820402936648 has 48 divisors (see below), whose sum is σ = 64444104329280. Its totient is φ = 5948686553184.

The previous prime is 20820402936607. The next prime is 20820402936689. The reversal of 20820402936648 is 84663920402802.

20820402936648 is a `hidden beast` number, since 208 + 20 + 402 + 9 + 3 + 6 + 6 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20820402936607) and next prime (20820402936689).

It is a junction number, because it is equal to n+sod(n) for n = 20820402936594 and 20820402936603.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20655161140 + ... + 20655162147.

It is an arithmetic number, because the mean of its divisors is an integer number (1342585506860).

Almost surely, 2^{20820402936648} is an apocalyptic number.

20820402936648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20820402936648 is an abundant number, since it is smaller than the sum of its proper divisors (43623701392632).

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

20820402936648 is a wasteful number, since it uses less digits than its factorization.

20820402936648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41310323306 (or 41310323299 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 20820402936648 in words is "twenty trillion, eight hundred twenty billion, four hundred two million, nine hundred thirty-six thousand, six hundred forty-eight".