20677587424 has 96 divisors (see below), whose sum is σ = 48020454720. Its totient is φ = 8672305152.

The previous prime is 20677587421. The next prime is 20677587499. The reversal of 20677587424 is 42478577602.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20677587421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 154677 + ... + 255499.

It is an arithmetic number, because the mean of its divisors is an integer number (500213070).

Almost surely, 2^20677587424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20677587424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24010227360).

20677587424 is an abundant number, since it is smaller than the sum of its proper divisors (27342867296).

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

20677587424 is a wasteful number, since it uses less digits than its factorization.

20677587424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100892 (or 100884 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 52.

The spelling of 20677587424 in words is "twenty billion, six hundred seventy-seven million, five hundred eighty-seven thousand, four hundred twenty-four".