55736186688 has 672 divisors, whose sum is σ = 209113282560. Its totient is φ = 13795246080.

The previous prime is 55736186677. The next prime is 55736186699. The reversal of 55736186688 is 88668163755.

It is a happy number.

55736186688 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 618 + 6 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (55736186677) and next prime (55736186699).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 56241873 + ... + 56242863.

It is an arithmetic number, because the mean of its divisors is an integer number (311180480).

Almost surely, 2^55736186688 is an apocalyptic number.

55736186688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55736186688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104556641280).

55736186688 is an abundant number, since it is smaller than the sum of its proper divisors (153377095872).

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

55736186688 is a wasteful number, since it uses less digits than its factorization.

55736186688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1082 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 55736186688 in words is "fifty-five billion, seven hundred thirty-six million, one hundred eighty-six thousand, six hundred eighty-eight".