55351920 has 160 divisors (see below), whose sum is σ = 187612992. Its totient is φ = 13418496.

The previous prime is 55351909. The next prime is 55351931. The reversal of 55351920 is 2915355.

It is an interprime number because it is at equal distance from previous prime (55351909) and next prime (55351931).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352482 + ... + 352638.

Almost surely, 2^55351920 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 55351920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93806496).

55351920 is an abundant number, since it is smaller than the sum of its proper divisors (132261072).

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

55351920 is a wasteful number, since it uses less digits than its factorization.

55351920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 55351920 is about 7439.8870959175. The cubic root of 55351920 is about 381.1046343598.

The spelling of 55351920 in words is "fifty-five million, three hundred fifty-one thousand, nine hundred twenty".