5755504552560 has 1920 divisors, whose sum is σ = 24879627601920. Its totient is φ = 1207388602368.

The previous prime is 5755504552547. The next prime is 5755504552573. The reversal of 5755504552560 is 652554055575.

It is a happy number.

5755504552560 is a `hidden beast` number, since 5 + 7 + 5 + 5 + 50 + 4 + 5 + 525 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5755504552547) and next prime (5755504552573).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5755504552497 and 5755504552506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13292158104 + ... + 13292158536.

It is an arithmetic number, because the mean of its divisors is an integer number (12958139376).

Almost surely, 2^{5755504552560} 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 5755504552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12439813800960).

5755504552560 is an abundant number, since it is smaller than the sum of its proper divisors (19124123049360).

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

5755504552560 is a wasteful number, since it uses less digits than its factorization.

5755504552560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 26250000, while the sum is 54.

The spelling of 5755504552560 in words is "five trillion, seven hundred fifty-five billion, five hundred four million, five hundred fifty-two thousand, five hundred sixty".