20861735040 has 192 divisors, whose sum is σ = 72174524760. Its totient is φ = 5552603136.

The previous prime is 20861735039. The next prime is 20861735053. The reversal of 20861735040 is 4053716802.

20861735040 is a `hidden beast` number, since 2 + 0 + 8 + 617 + 35 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20003010624 + 858724416 = 141432^2 + 29304^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 20861734986 and 20861735004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3320382 + ... + 3326658.

Almost surely, 2^20861735040 is an apocalyptic number.

20861735040 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 20861735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36087262380).

20861735040 is an abundant number, since it is smaller than the sum of its proper divisors (51312789720).

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

20861735040 is a wasteful number, since it uses less digits than its factorization.

20861735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20861735040 in words is "twenty billion, eight hundred sixty-one million, seven hundred thirty-five thousand, forty".