55735117560 has 192 divisors, whose sum is σ = 190825034400. Its totient is φ = 14069210112.

The previous prime is 55735117549. The next prime is 55735117621. The reversal of 55735117560 is 6571153755.

55735117560 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 511 + 75 + 60 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11577714 + ... + 11582526.

Almost surely, 2^55735117560 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 55735117560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95412517200).

55735117560 is an abundant number, since it is smaller than the sum of its proper divisors (135089916840).

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

55735117560 is a wasteful number, since it uses less digits than its factorization.

55735117560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6535 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The spelling of 55735117560 in words is "fifty-five billion, seven hundred thirty-five million, one hundred seventeen thousand, five hundred sixty".