20829596004 has 216 divisors, whose sum is σ = 62585097120. Its totient is φ = 5822949888.

The previous prime is 20829596003. The next prime is 20829596027. The reversal of 20829596004 is 40069592802.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20829596003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16543927 + ... + 16545185.

It is an arithmetic number, because the mean of its divisors is an integer number (289745820).

Almost surely, 2^20829596004 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 20829596004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31292548560).

20829596004 is an abundant number, since it is smaller than the sum of its proper divisors (41755501116).

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

20829596004 is a wasteful number, since it uses less digits than its factorization.

20829596004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20829596004 in words is "twenty billion, eight hundred twenty-nine million, five hundred ninety-six thousand, four".