20416273920 has 480 divisors, whose sum is σ = 81277530048. Its totient is φ = 4639555584.

The previous prime is 20416273841. The next prime is 20416273921. The reversal of 20416273920 is 2937261402.

20416273920 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 627 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20416273921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44674332 + ... + 44674788.

Almost surely, 2^20416273920 is an apocalyptic number.

20416273920 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 20416273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40638765024).

20416273920 is an abundant number, since it is smaller than the sum of its proper divisors (60861256128).

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

20416273920 is a wasteful number, since it uses less digits than its factorization.

20416273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20416273920 in words is "twenty billion, four hundred sixteen million, two hundred seventy-three thousand, nine hundred twenty".