495577509120 has 576 divisors, whose sum is σ = 1835773632000. Its totient is φ = 126478909440.

The previous prime is 495577509061. The next prime is 495577509127. The reversal of 495577509120 is 21905775594.

It is a happy number.

495577509120 is a `hidden beast` number, since 4 + 9 + 5 + 5 + 7 + 7 + 509 + 120 = 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495577509127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75095581 + ... + 75102179.

It is an arithmetic number, because the mean of its divisors is an integer number (3187107000).

Almost surely, 2^495577509120 is an apocalyptic number.

495577509120 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 495577509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917886816000).

495577509120 is an abundant number, since it is smaller than the sum of its proper divisors (1340196122880).

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

495577509120 is a wasteful number, since it uses less digits than its factorization.

495577509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 495577509120 in words is "four hundred ninety-five billion, five hundred seventy-seven million, five hundred nine thousand, one hundred twenty".