109282760496 has 320 divisors, whose sum is σ = 386565258240. Its totient is φ = 28784885760.

The previous prime is 109282760473. The next prime is 109282760513. The reversal of 109282760496 is 694067282901.

109282760496 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 8 + 27 + 604 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 45325531 + ... + 45327941.

It is an arithmetic number, because the mean of its divisors is an integer number (1208016432).

Almost surely, 2^109282760496 is an apocalyptic number.

109282760496 is a gapful number since it is divisible by the number (16) 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 109282760496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193282629120).

109282760496 is an abundant number, since it is smaller than the sum of its proper divisors (277282497744).

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

109282760496 is a wasteful number, since it uses less digits than its factorization.

109282760496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 109282760496 in words is "one hundred nine billion, two hundred eighty-two million, seven hundred sixty thousand, four hundred ninety-six".