20029261824 has 768 divisors, whose sum is σ = 74299680000. Its totient is φ = 5237637120.

The previous prime is 20029261817. The next prime is 20029261831. The reversal of 20029261824 is 42816292002.

It is an interprime number because it is at equal distance from previous prime (20029261817) and next prime (20029261831).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134424502 + ... + 134424650.

It is an arithmetic number, because the mean of its divisors is an integer number (96744375).

Almost surely, 2^20029261824 is an apocalyptic number.

20029261824 is a gapful number since it is divisible by the number (24) 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 20029261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840000).

20029261824 is an abundant number, since it is smaller than the sum of its proper divisors (54270418176).

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

20029261824 is a wasteful number, since it uses less digits than its factorization.

20029261824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20029261824 in words is "twenty billion, twenty-nine million, two hundred sixty-one thousand, eight hundred twenty-four".