495588772224 has 576 divisors, whose sum is σ = 1852795985040. Its totient is φ = 130699505664.

The previous prime is 495588772213. The next prime is 495588772277. The reversal of 495588772224 is 422277885594.

495588772224 is a `hidden beast` number, since 4 + 9 + 5 + 588 + 7 + 7 + 22 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19800742 + ... + 19825754.

Almost surely, 2^495588772224 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 495588772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926397992520).

495588772224 is an abundant number, since it is smaller than the sum of its proper divisors (1357207212816).

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

495588772224 is a wasteful number, since it uses less digits than its factorization.

495588772224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25069 (or 25038 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 495588772224 in words is "four hundred ninety-five billion, five hundred eighty-eight million, seven hundred seventy-two thousand, two hundred twenty-four".