55085102736120 has 768 divisors, whose sum is σ = 195784947072000. Its totient is φ = 13385025626112.

The previous prime is 55085102736113. The next prime is 55085102736151. The reversal of 55085102736120 is 2163720158055.

55085102736120 is a `hidden beast` number, since 5 + 5 + 0 + 8 + 5 + 1 + 0 + 27 + 3 + 612 + 0 = 666.

It is a super-2 number, since 2×55085102736120² (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 191 ways as a sum of consecutive naturals, for example, 16596895821 + ... + 16596899139.

It is an arithmetic number, because the mean of its divisors is an integer number (254928316500).

Almost surely, 2^{55085102736120} 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 55085102736120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97892473536000).

55085102736120 is an abundant number, since it is smaller than the sum of its proper divisors (140699844335880).

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

55085102736120 is a wasteful number, since it uses less digits than its factorization.

55085102736120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 55085102736120 in words is "fifty-five trillion, eighty-five billion, one hundred two million, seven hundred thirty-six thousand, one hundred twenty".