20034508800 has 576 divisors, whose sum is σ = 71072951040. Its totient is φ = 4966973440.

The previous prime is 20034508771. The next prime is 20034508829. The reversal of 20034508800 is 880543002.

It is an interprime number because it is at equal distance from previous prime (20034508771) and next prime (20034508829).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187238347 + ... + 187238453.

It is an arithmetic number, because the mean of its divisors is an integer number (123390540).

Almost surely, 2^20034508800 is an apocalyptic number.

20034508800 is a gapful number since it is divisible by the number (20) 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 20034508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35536475520).

20034508800 is an abundant number, since it is smaller than the sum of its proper divisors (51038442240).

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

20034508800 is a wasteful number, since it uses less digits than its factorization.

20034508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 20034508800 in words is "twenty billion, thirty-four million, five hundred eight thousand, eight hundred".