20951377920 has 576 divisors, whose sum is σ = 82236772800. Its totient is φ = 5017927680.

The previous prime is 20951377829. The next prime is 20951377969. The reversal of 20951377920 is 2977315902.

20951377920 is a `hidden beast` number, since 209 + 51 + 377 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

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, 252426199 + ... + 252426281.

It is an arithmetic number, because the mean of its divisors is an integer number (142772175).

Almost surely, 2^20951377920 is an apocalyptic number.

20951377920 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 20951377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41118386400).

20951377920 is an abundant number, since it is smaller than the sum of its proper divisors (61285394880).

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

20951377920 is an equidigital number, since it uses as much as digits as its factorization.

20951377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 20951377920 in words is "twenty billion, nine hundred fifty-one million, three hundred seventy-seven thousand, nine hundred twenty".