55785120 has 192 divisors, whose sum is σ = 190439424. Its totient is φ = 13685760.

The previous prime is 55785113. The next prime is 55785127. The reversal of 55785120 is 2158755.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55785113) and next prime (55785127).

It is a super-2 number, since 2×55785120² = 6223959226828800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55785127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342159 + ... + 342321.

It is an arithmetic number, because the mean of its divisors is an integer number (991872).

Almost surely, 2^55785120 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 55785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95219712).

55785120 is an abundant number, since it is smaller than the sum of its proper divisors (134654304).

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

55785120 is a wasteful number, since it uses less digits than its factorization.

55785120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 55785120 is about 7468.9437004171. The cubic root of 55785120 is about 382.0962633050.

The spelling of 55785120 in words is "fifty-five million, seven hundred eighty-five thousand, one hundred twenty".