20506073984 has 128 divisors (see below), whose sum is σ = 45591552000. Its totient is φ = 9108357120.

The previous prime is 20506073983. The next prime is 20506073993. The reversal of 20506073984 is 48937060502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20506073981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16032257 + ... + 16033535.

It is an arithmetic number, because the mean of its divisors is an integer number (356184000).

Almost surely, 2^20506073984 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 20506073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22795776000).

20506073984 is an abundant number, since it is smaller than the sum of its proper divisors (25085478016).

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

20506073984 is a wasteful number, since it uses less digits than its factorization.

20506073984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 20506073984 in words is "twenty billion, five hundred six million, seventy-three thousand, nine hundred eighty-four".