20621916000 has 1152 divisors, whose sum is σ = 90763545600. Its totient is φ = 4329676800.

The previous prime is 20621915983. The next prime is 20621916041. The reversal of 20621916000 is 61912602.

20621916000 is a `hidden beast` number, since 20 + 621 + 9 + 16 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×20621916000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 282491964 + ... + 282492036.

It is an arithmetic number, because the mean of its divisors is an integer number (78787800).

Almost surely, 2^20621916000 is an apocalyptic number.

20621916000 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 20621916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45381772800).

20621916000 is an abundant number, since it is smaller than the sum of its proper divisors (70141629600).

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

20621916000 is a wasteful number, since it uses less digits than its factorization.

20621916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 20621916000 in words is "twenty billion, six hundred twenty-one million, nine hundred sixteen thousand".