10483837308672 has 864 divisors, whose sum is σ = 35508534921216. Its totient is φ = 2687149670400.

The previous prime is 10483837308653. The next prime is 10483837308719. The reversal of 10483837308672 is 27680373838401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16054880698 + ... + 16054881350.

It is an arithmetic number, because the mean of its divisors is an integer number (41097841344).

Almost surely, 2^{10483837308672} is an apocalyptic number.

10483837308672 is a gapful number since it is divisible by the number (12) 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 10483837308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17754267460608).

10483837308672 is an abundant number, since it is smaller than the sum of its proper divisors (25024697612544).

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

10483837308672 is a wasteful number, since it uses less digits than its factorization.

10483837308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 10483837308672 in words is "ten trillion, four hundred eighty-three billion, eight hundred thirty-seven million, three hundred eight thousand, six hundred seventy-two".