55846361088 has 1152 divisors, whose sum is σ = 216360668160. Its totient is φ = 14014218240.

The previous prime is 55846361063. The next prime is 55846361119. The reversal of 55846361088 is 88016364855.

55846361088 is a `hidden beast` number, since 558 + 4 + 6 + 3 + 6 + 1 + 0 + 88 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1362106348 + ... + 1362106388.

It is an arithmetic number, because the mean of its divisors is an integer number (187813080).

Almost surely, 2^55846361088 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 55846361088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108180334080).

55846361088 is an abundant number, since it is smaller than the sum of its proper divisors (160514307072).

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

55846361088 is a wasteful number, since it uses less digits than its factorization.

55846361088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 55846361088 in words is "fifty-five billion, eight hundred forty-six million, three hundred sixty-one thousand, eighty-eight".