20874507840 has 224 divisors, whose sum is σ = 73737216000. Its totient is φ = 5559238656.

The previous prime is 20874507839. The next prime is 20874507917. The reversal of 20874507840 is 4870547802.

20874507840 is a `hidden beast` number, since 20 + 87 + 4 + 507 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 11049616 + ... + 11051504.

It is an arithmetic number, because the mean of its divisors is an integer number (329184000).

Almost surely, 2^20874507840 is an apocalyptic number.

20874507840 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 20874507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36868608000).

20874507840 is an abundant number, since it is smaller than the sum of its proper divisors (52862708160).

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

20874507840 is a wasteful number, since it uses less digits than its factorization.

20874507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 20874507840 in words is "twenty billion, eight hundred seventy-four million, five hundred seven thousand, eight hundred forty".