20505677040 has 320 divisors, whose sum is σ = 75576115200. Its totient is φ = 5094835200.

The previous prime is 20505677039. The next prime is 20505677053. The reversal of 20505677040 is 4077650502.

20505677040 is a `hidden beast` number, since 2 + 0 + 50 + 567 + 7 + 0 + 40 = 666.

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 = 20505676986 and 20505677004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2499345 + ... + 2507535.

It is an arithmetic number, because the mean of its divisors is an integer number (236175360).

Almost surely, 2^20505677040 is an apocalyptic number.

20505677040 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 20505677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37788057600).

20505677040 is an abundant number, since it is smaller than the sum of its proper divisors (55070438160).

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

20505677040 is a wasteful number, since it uses less digits than its factorization.

20505677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8293 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 20505677040 in words is "twenty billion, five hundred five million, six hundred seventy-seven thousand, forty".