55111174517520 has 960 divisors, whose sum is σ = 209958241812480. Its totient is φ = 13177005004800.

The previous prime is 55111174517459. The next prime is 55111174517521. The reversal of 55111174517520 is 2571547111155.

55111174517520 is a `hidden beast` number, since 5 + 5 + 1 + 1 + 1 + 1 + 74 + 51 + 7 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55111174517521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100751689887 + ... + 100751690433.

It is an arithmetic number, because the mean of its divisors is an integer number (218706501888).

Almost surely, 2^{55111174517520} 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 55111174517520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104979120906240).

55111174517520 is an abundant number, since it is smaller than the sum of its proper divisors (154847067294960).

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

55111174517520 is a wasteful number, since it uses less digits than its factorization.

55111174517520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 245000, while the sum is 45.

The spelling of 55111174517520 in words is "fifty-five trillion, one hundred eleven billion, one hundred seventy-four million, five hundred seventeen thousand, five hundred twenty".