55748160 has 168 divisors, whose sum is σ = 206639160. Its totient is φ = 13713408.

The previous prime is 55748153. The next prime is 55748197. The reversal of 55748160 is 6184755.

55748160 is a `hidden beast` number, since 5 + 574 + 81 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 55711296 = 192^2 + 7464^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36696 + ... + 38184.

It is an arithmetic number, because the mean of its divisors is an integer number (1229995).

Almost surely, 2^55748160 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 55748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103319580).

55748160 is an abundant number, since it is smaller than the sum of its proper divisors (150891000).

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

55748160 is a wasteful number, since it uses less digits than its factorization.

55748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 55748160 is about 7466.4690450038. The cubic root of 55748160 is about 382.0118596868.

The spelling of 55748160 in words is "fifty-five million, seven hundred forty-eight thousand, one hundred sixty".