55186341120 has 1152 divisors, whose sum is σ = 222518016000. Its totient is φ = 12881756160.

The previous prime is 55186341101. The next prime is 55186341131. The reversal of 55186341120 is 2114368155.

55186341120 is a `hidden beast` number, since 5 + 5 + 1 + 8 + 634 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 698561241 + ... + 698561319.

It is an arithmetic number, because the mean of its divisors is an integer number (193158000).

Almost surely, 2^55186341120 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 55186341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111259008000).

55186341120 is an abundant number, since it is smaller than the sum of its proper divisors (167331674880).

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

55186341120 is a wasteful number, since it uses less digits than its factorization.

55186341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 55186341120 in words is "fifty-five billion, one hundred eighty-six million, three hundred forty-one thousand, one hundred twenty".