55177130741760 has 1040 divisors, whose sum is σ = 200753497494000. Its totient is φ = 14495542935552.

The previous prime is 55177130741743. The next prime is 55177130741783. The reversal of 55177130741760 is 6714703177155.

It is a happy number.

55177130741760 is a `hidden beast` number, since 5 + 517 + 7 + 13 + 0 + 7 + 41 + 76 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3907864756224 + 51269265985536 = 1976832^2 + 7160256^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55177130741697 and 55177130741706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35621129466 + ... + 35621131014.

Almost surely, 2^{55177130741760} 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 55177130741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100376748747000).

55177130741760 is an abundant number, since it is smaller than the sum of its proper divisors (145576366752240).

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

55177130741760 is a wasteful number, since it uses less digits than its factorization.

55177130741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 4321800, while the sum is 54.

The spelling of 55177130741760 in words is "fifty-five trillion, one hundred seventy-seven billion, one hundred thirty million, seven hundred forty-one thousand, seven hundred sixty".