496969058880 has 672 divisors, whose sum is σ = 2056304280576. Its totient is φ = 111889299456.

The previous prime is 496969058869. The next prime is 496969058903. The reversal of 496969058880 is 88850969694.

496969058880 is a `hidden beast` number, since 496 + 9 + 6 + 9 + 0 + 58 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 496969058799 and 496969058808.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 36462627 + ... + 36476253.

It is an arithmetic number, because the mean of its divisors is an integer number (3059976608).

Almost surely, 2^496969058880 is an apocalyptic number.

496969058880 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 496969058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028152140288).

496969058880 is an abundant number, since it is smaller than the sum of its proper divisors (1559335221696).

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

496969058880 is a wasteful number, since it uses less digits than its factorization.

496969058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13733 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 496969058880 in words is "four hundred ninety-six billion, nine hundred sixty-nine million, fifty-eight thousand, eight hundred eighty".