10682173440 has 288 divisors, whose sum is σ = 38226988800. Its totient is φ = 2755952640.

The previous prime is 10682173423. The next prime is 10682173451. The reversal of 10682173440 is 4437128601.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10682173440² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10682173395 and 10682173404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2855091 + ... + 2858829.

It is an arithmetic number, because the mean of its divisors is an integer number (132732600).

Almost surely, 2^10682173440 is an apocalyptic number.

10682173440 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 10682173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19113494400).

10682173440 is an abundant number, since it is smaller than the sum of its proper divisors (27544815360).

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

10682173440 is a wasteful number, since it uses less digits than its factorization.

10682173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10682173440 in words is "ten billion, six hundred eighty-two million, one hundred seventy-three thousand, four hundred forty".