10739097123840 has 704 divisors, whose sum is σ = 40719440171520. Its totient is φ = 2674651299840.

The previous prime is 10739097123787. The next prime is 10739097123841. The reversal of 10739097123840 is 4832179093701.

10739097123840 is a `hidden beast` number, since 1 + 0 + 7 + 390 + 97 + 123 + 8 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10739097123841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307843039 + ... + 307877921.

It is an arithmetic number, because the mean of its divisors is an integer number (57840113880).

Almost surely, 2^{10739097123840} is an apocalyptic number.

10739097123840 is a gapful number since it is divisible by the number (10) 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 10739097123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20359720085760).

10739097123840 is an abundant number, since it is smaller than the sum of its proper divisors (29980343047680).

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

10739097123840 is a wasteful number, since it uses less digits than its factorization.

10739097123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35065 (or 35041 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10739097123840 in words is "ten trillion, seven hundred thirty-nine billion, ninety-seven million, one hundred twenty-three thousand, eight hundred forty".