5110655656160 has 384 divisors, whose sum is σ = 13161463096320. Its totient is φ = 1869018955776.

The previous prime is 5110655656123. The next prime is 5110655656177. The reversal of 5110655656160 is 616565560115.

It is a super-2 number, since 2×5110655656160² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4213235714 + ... + 4213236926.

It is an arithmetic number, because the mean of its divisors is an integer number (34274643480).

Almost surely, 2^{5110655656160} 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 5110655656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580731548160).

5110655656160 is an abundant number, since it is smaller than the sum of its proper divisors (8050807440160).

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

5110655656160 is a wasteful number, since it uses less digits than its factorization.

5110655656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 47.

The spelling of 5110655656160 in words is "five trillion, one hundred ten billion, six hundred fifty-five million, six hundred fifty-six thousand, one hundred sixty".