495279758880 has 288 divisors, whose sum is σ = 1764539562240. Its totient is φ = 126266849280.

The previous prime is 495279758807. The next prime is 495279758899. The reversal of 495279758880 is 88857972594.

495279758880 is a `hidden beast` number, since 4 + 9 + 527 + 97 + 5 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 495279758799 and 495279758808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123171270 + ... + 123175290.

It is an arithmetic number, because the mean of its divisors is an integer number (6126873480).

Almost surely, 2^495279758880 is an apocalyptic number.

495279758880 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 495279758880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882269781120).

495279758880 is an abundant number, since it is smaller than the sum of its proper divisors (1269259803360).

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

495279758880 is a wasteful number, since it uses less digits than its factorization.

495279758880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784 (or 7773 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 495279758880 in words is "four hundred ninety-five billion, two hundred seventy-nine million, seven hundred fifty-eight thousand, eight hundred eighty".