55348508117760 has 1152 divisors, whose sum is σ = 218890972339200. Its totient is φ = 11732775075840.

The previous prime is 55348508117719. The next prime is 55348508117797. The reversal of 55348508117760 is 6771180584355.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 55348508117694 and 55348508117703.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 843964651 + ... + 844030229.

It is an arithmetic number, because the mean of its divisors is an integer number (190009524600).

Almost surely, 2^{55348508117760} 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 55348508117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109445486169600).

55348508117760 is an abundant number, since it is smaller than the sum of its proper divisors (163542464221440).

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

55348508117760 is a wasteful number, since it uses less digits than its factorization.

55348508117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65709 (or 65695 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 60.

The spelling of 55348508117760 in words is "fifty-five trillion, three hundred forty-eight billion, five hundred eight million, one hundred seventeen thousand, seven hundred sixty".