20407874000 has 80 divisors (see below), whose sum is σ = 49941178560. Its totient is φ = 8064732800.

The previous prime is 20407873991. The next prime is 20407874023. The reversal of 20407874000 is 47870402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104531 + ... + 227469.

It is an arithmetic number, because the mean of its divisors is an integer number (624264732).

Almost surely, 2^20407874000 is an apocalyptic number.

20407874000 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 20407874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24970589280).

20407874000 is an abundant number, since it is smaller than the sum of its proper divisors (29533304560).

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

20407874000 is a wasteful number, since it uses less digits than its factorization.

20407874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123045 (or 123029 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The spelling of 20407874000 in words is "twenty billion, four hundred seven million, eight hundred seventy-four thousand".