55917120 has 224 divisors, whose sum is σ = 208044288. Its totient is φ = 12460032.

The previous prime is 55917119. The next prime is 55917139. The reversal of 55917120 is 2171955.

It is a tau number, because it is divible by the number of its divisors (224).

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

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 31 ways as a sum of consecutive naturals, for example, 356082 + ... + 356238.

Almost surely, 2^55917120 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 55917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104022144).

55917120 is an abundant number, since it is smaller than the sum of its proper divisors (152127168).

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

55917120 is a wasteful number, since it uses less digits than its factorization.

55917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 55917120 is about 7477.7750701663. The cubic root of 55917120 is about 382.3974008215.

The spelling of 55917120 in words is "fifty-five million, nine hundred seventeen thousand, one hundred twenty".