20854074240 has 512 divisors, whose sum is σ = 77834649600. Its totient is φ = 5266685952.

The previous prime is 20854074239. The next prime is 20854074251. The reversal of 20854074240 is 4247045802.

20854074240 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 407 + 4 + 240 = 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 = 20854074195 and 20854074204.

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, 54449089 + ... + 54449471.

It is an arithmetic number, because the mean of its divisors is an integer number (152020800).

Almost surely, 2^20854074240 is an apocalyptic number.

20854074240 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 20854074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38917324800).

20854074240 is an abundant number, since it is smaller than the sum of its proper divisors (56980575360).

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

20854074240 is a wasteful number, since it uses less digits than its factorization.

20854074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 20854074240 in words is "twenty billion, eight hundred fifty-four million, seventy-four thousand, two hundred forty".