5655101175360 has 1792 divisors, whose sum is σ = 25968608870400. Its totient is φ = 1126313164800.

The previous prime is 5655101175343. The next prime is 5655101175377. The reversal of 5655101175360 is 635711015565.

5655101175360 is a `hidden beast` number, since 5 + 6 + 5 + 5 + 101 + 1 + 7 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5655101175343) and next prime (5655101175377).

It is a super-2 number, since 2×5655101175360² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 999308211 + ... + 999313869.

It is an arithmetic number, because the mean of its divisors is an integer number (14491411200).

Almost surely, 2^{5655101175360} 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 5655101175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12984304435200).

5655101175360 is an abundant number, since it is smaller than the sum of its proper divisors (20313507695040).

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

5655101175360 is a wasteful number, since it uses less digits than its factorization.

5655101175360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 5655101175360 in words is "five trillion, six hundred fifty-five billion, one hundred one million, one hundred seventy-five thousand, three hundred sixty".