4575859853760 has 560 divisors, whose sum is σ = 17542961790816. Its totient is φ = 1125483061248.

The previous prime is 4575859853759. The next prime is 4575859853833. The reversal of 4575859853760 is 673589585754.

4575859853760 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 85 + 9 + 8 + 537 + 6 + 0 = 666.

It is a super-2 number, since 2×4575859853760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 499707102 + ... + 499716258.

Almost surely, 2^{4575859853760} is an apocalyptic number.

4575859853760 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 4575859853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8771480895408).

4575859853760 is an abundant number, since it is smaller than the sum of its proper divisors (12967101937056).

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

4575859853760 is a wasteful number, since it uses less digits than its factorization.

4575859853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10682 (or 10663 counting only the distinct ones).

The product of its (nonzero) digits is 1270080000, while the sum is 72.

The spelling of 4575859853760 in words is "four trillion, five hundred seventy-five billion, eight hundred fifty-nine million, eight hundred fifty-three thousand, seven hundred sixty".