10837284459672 has 64 divisors (see below), whose sum is σ = 29556854588160. Its totient is φ = 3283956233600.

The previous prime is 10837284459671. The next prime is 10837284459679. The reversal of 10837284459672 is 27695448273801.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10837284459671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12860533 + ... + 13677275.

It is an arithmetic number, because the mean of its divisors is an integer number (461825852940).

It is a 1-persistent number, because it is pandigital, but 2⋅10837284459672 = 21674568919344 is not.

Almost surely, 2^{10837284459672} is an apocalyptic number.

10837284459672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10837284459672 is an abundant number, since it is smaller than the sum of its proper divisors (18719570128488).

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

10837284459672 is a wasteful number, since it uses less digits than its factorization.

10837284459672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867024 (or 867020 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 10837284459672 in words is "ten trillion, eight hundred thirty-seven billion, two hundred eighty-four million, four hundred fifty-nine thousand, six hundred seventy-two".