20419902720 has 432 divisors, whose sum is σ = 81402152832. Its totient is φ = 4629381120.

The previous prime is 20419902703. The next prime is 20419902743. The reversal of 20419902720 is 2720991402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10562874 + ... + 10564806.

Almost surely, 2^20419902720 is an apocalyptic number.

20419902720 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 20419902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40701076416).

20419902720 is an abundant number, since it is smaller than the sum of its proper divisors (60982250112).

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

20419902720 is a wasteful number, since it uses less digits than its factorization.

20419902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 20419902720 in words is "twenty billion, four hundred nineteen million, nine hundred two thousand, seven hundred twenty".