55135661142240 has 864 divisors, whose sum is σ = 222958245758976. Its totient is φ = 12153739530240.

The previous prime is 55135661142239. The next prime is 55135661142259. The reversal of 55135661142240 is 4224116653155.

55135661142240 is a `hidden beast` number, since 5 + 5 + 1 + 3 + 5 + 6 + 611 + 4 + 2 + 24 + 0 = 666.

It is a super-2 number, since 2×55135661142240² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8400981199 + ... + 8400987761.

It is an arithmetic number, because the mean of its divisors is an integer number (258053525184).

Almost surely, 2^{55135661142240} 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 55135661142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111479122879488).

55135661142240 is an abundant number, since it is smaller than the sum of its proper divisors (167822584616736).

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

55135661142240 is a wasteful number, since it uses less digits than its factorization.

55135661142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7640 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

Adding to 55135661142240 its reverse (4224116653155), we get a palindrome (59359777795395).

The spelling of 55135661142240 in words is "fifty-five trillion, one hundred thirty-five billion, six hundred sixty-one million, one hundred forty-two thousand, two hundred forty".