2505504161160 has 1536 divisors, whose sum is σ = 11328686853120. Its totient is φ = 467286589440.

The previous prime is 2505504161107. The next prime is 2505504161191. The reversal of 2505504161160 is 611614055052.

2505504161160 is a `hidden beast` number, since 2 + 5 + 0 + 550 + 41 + 6 + 1 + 1 + 60 = 666.

It is a super-2 number, since 2×2505504161160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1613330944 + ... + 1613332496.

It is an arithmetic number, because the mean of its divisors is an integer number (7375447170).

Almost surely, 2^{2505504161160} is an apocalyptic number.

2505504161160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505504161160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664343426560).

2505504161160 is an abundant number, since it is smaller than the sum of its proper divisors (8823182691960).

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

2505504161160 is a wasteful number, since it uses less digits than its factorization.

2505504161160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 2505504161160 in words is "two trillion, five hundred five billion, five hundred four million, one hundred sixty-one thousand, one hundred sixty".