20916627840 has 256 divisors, whose sum is σ = 74290680000. Its totient is φ = 5561892864.

The previous prime is 20916627817. The next prime is 20916627847. The reversal of 20916627840 is 4872661902.

It is a happy number.

20916627840 is a `hidden beast` number, since 2 + 0 + 9 + 16 + 627 + 8 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20916627847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6858636 + ... + 6861684.

Almost surely, 2^20916627840 is an apocalyptic number.

20916627840 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 20916627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37145340000).

20916627840 is an abundant number, since it is smaller than the sum of its proper divisors (53374052160).

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

20916627840 is a wasteful number, since it uses less digits than its factorization.

20916627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 20916627840 in words is "twenty billion, nine hundred sixteen million, six hundred twenty-seven thousand, eight hundred forty".