55690009482240 has 2640 divisors, whose sum is σ = 246814238296080. Its totient is φ = 11555926179840.

The previous prime is 55690009482229. The next prime is 55690009482311. The reversal of 55690009482240 is 4228490009655.

55690009482240 is a `hidden beast` number, since 5 + 56 + 90 + 0 + 0 + 9 + 482 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 939007512576 + 54751001969664 = 969024^2 + 7399392^2 .

It is a super-2 number, since 2×55690009482240² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 54544572930 + ... + 54544573950.

Almost surely, 2^{55690009482240} 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 55690009482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123407119148040).

55690009482240 is an abundant number, since it is smaller than the sum of its proper divisors (191124228813840).

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

55690009482240 is a wasteful number, since it uses less digits than its factorization.

55690009482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 55690009482240 in words is "fifty-five trillion, six hundred ninety billion, nine million, four hundred eighty-two thousand, two hundred forty".