20951490560 has 672 divisors, whose sum is σ = 69656321952. Its totient is φ = 5945425920.

The previous prime is 20951490559. The next prime is 20951490569. The reversal of 20951490560 is 6509415902.

It is a super-2 number, since 2×20951490560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20951490569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287006684 + ... + 287006756.

It is an arithmetic number, because the mean of its divisors is an integer number (103655241).

Almost surely, 2^20951490560 is an apocalyptic number.

20951490560 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 20951490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34828160976).

20951490560 is an abundant number, since it is smaller than the sum of its proper divisors (48704831392).

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

20951490560 is a wasteful number, since it uses less digits than its factorization.

20951490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 41.

The spelling of 20951490560 in words is "twenty billion, nine hundred fifty-one million, four hundred ninety thousand, five hundred sixty".