4895170560 has 504 divisors, whose sum is σ = 19812158496. Its totient is φ = 1114767360.

The previous prime is 4895170547. The next prime is 4895170561. The reversal of 4895170560 is 650715984.

4895170560 is a `hidden beast` number, since 4 + 89 + 5 + 1 + 7 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×4895170560² = 47925389622981427200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4895170561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18063225 + ... + 18063495.

Almost surely, 2^4895170560 is an apocalyptic number.

4895170560 is a gapful number since it is divisible by the number (40) 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 4895170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906079248).

4895170560 is an abundant number, since it is smaller than the sum of its proper divisors (14916987936).

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

4895170560 is a wasteful number, since it uses less digits than its factorization.

4895170560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 4895170560 is about 69965.4954959943. The cubic root of 4895170560 is about 1697.9410551943.

The spelling of 4895170560 in words is "four billion, eight hundred ninety-five million, one hundred seventy thousand, five hundred sixty".