20400683520 has 480 divisors, whose sum is σ = 79198466688. Its totient is φ = 4458381312.

The previous prime is 20400683503. The next prime is 20400683533. The reversal of 20400683520 is 2538600402.

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 (30).

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 47 ways as a sum of consecutive naturals, for example, 8654182 + ... + 8656538.

Almost surely, 2^20400683520 is an apocalyptic number.

20400683520 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 20400683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39599233344).

20400683520 is an abundant number, since it is smaller than the sum of its proper divisors (58797783168).

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

20400683520 is a wasteful number, since it uses less digits than its factorization.

20400683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 20400683520 in words is "twenty billion, four hundred million, six hundred eighty-three thousand, five hundred twenty".