20081129904 has 200 divisors, whose sum is σ = 65451048960. Its totient is φ = 5888764800.

The previous prime is 20081129881. The next prime is 20081129927. The reversal of 20081129904 is 40992118002.

It is an interprime number because it is at equal distance from previous prime (20081129881) and next prime (20081129927).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 419217 + ... + 464655.

Almost surely, 2^20081129904 is an apocalyptic number.

20081129904 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 20081129904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32725524480).

20081129904 is an abundant number, since it is smaller than the sum of its proper divisors (45369919056).

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

20081129904 is a wasteful number, since it uses less digits than its factorization.

20081129904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45501 (or 45486 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 20081129904 in words is "twenty billion, eighty-one million, one hundred twenty-nine thousand, nine hundred four".