20874631104 has 126 divisors (see below), whose sum is σ = 61331149880. Its totient is φ = 6788183040.

The previous prime is 20874631073. The next prime is 20874631117. The reversal of 20874631104 is 40113647802.

20874631104 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 4 + 631 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 957477 + ... + 979035.

Almost surely, 2^20874631104 is an apocalyptic number.

20874631104 is a gapful number since it is divisible by the number (24) 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 20874631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30665574940).

20874631104 is an abundant number, since it is smaller than the sum of its proper divisors (40456518776).

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

20874631104 is a wasteful number, since it uses less digits than its factorization.

20874631104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21659 (or 21605 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20874631104 in words is "twenty billion, eight hundred seventy-four million, six hundred thirty-one thousand, one hundred four".