20757884004 has 432 divisors, whose sum is σ = 65063404224. Its totient is φ = 5526144000.

The previous prime is 20757884003. The next prime is 20757884071. The reversal of 20757884004 is 40048875702.

It is not an unprimeable number, because it can be changed into a prime (20757884003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 205523554 + ... + 205523654.

It is an arithmetic number, because the mean of its divisors is an integer number (150609732).

Almost surely, 2^20757884004 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 20757884004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32531702112).

20757884004 is an abundant number, since it is smaller than the sum of its proper divisors (44305520220).

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

20757884004 is a wasteful number, since it uses less digits than its factorization.

20757884004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

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

The spelling of 20757884004 in words is "twenty billion, seven hundred fifty-seven million, eight hundred eighty-four thousand, four".