55377920 has 102 divisors (see below), whose sum is σ = 143915958. Its totient is φ = 20447232.

The previous prime is 55377911. The next prime is 55377929. The reversal of 55377920 is 2977355.

It is an interprime number because it is at equal distance from previous prime (55377911) and next prime (55377929).

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 55115776 = 512^2 + 7424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55377929) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4259834 + ... + 4259846.

Almost surely, 2^55377920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71957979).

55377920 is an abundant number, since it is smaller than the sum of its proper divisors (88538038).

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

55377920 is an frugal number, since it uses more digits than its factorization.

55377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 38.

The square root of 55377920 is about 7441.6342291193. The cubic root of 55377920 is about 381.1642960629.

The spelling of 55377920 in words is "fifty-five million, three hundred seventy-seven thousand, nine hundred twenty".