20419929600 has 240 divisors, whose sum is σ = 77093541888. Its totient is φ = 4667351040.

The previous prime is 20419929557. The next prime is 20419929613. The reversal of 20419929600 is 692991402.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230817 + ... + 306783.

Almost surely, 2^20419929600 is an apocalyptic number.

20419929600 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 20419929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38546770944).

20419929600 is an abundant number, since it is smaller than the sum of its proper divisors (56673612288).

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

20419929600 is an equidigital number, since it uses as much as digits as its factorization.

20419929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76005 (or 75984 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 20419929600 in words is "twenty billion, four hundred nineteen million, nine hundred twenty-nine thousand, six hundred".