55883660040 has 768 divisors, whose sum is σ = 218759486400. Its totient is φ = 12237668352.

The previous prime is 55883660017. The next prime is 55883660051. The reversal of 55883660040 is 4006638855.

55883660040 is a `hidden beast` number, since 5 + 5 + 8 + 8 + 36 + 600 + 4 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 2486617956 + 53397042084 = 49866^2 + 231078^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 122283492 + ... + 122283948.

Almost surely, 2^55883660040 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 55883660040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109379743200).

55883660040 is an abundant number, since it is smaller than the sum of its proper divisors (162875826360).

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

55883660040 is a wasteful number, since it uses less digits than its factorization.

55883660040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 55883660040 in words is "fifty-five billion, eight hundred eighty-three million, six hundred sixty thousand, forty".