10392683700672 has 1344 divisors, whose sum is σ = 39790677319680. Its totient is φ = 2633637888000.

The previous prime is 10392683700649. The next prime is 10392683700719. The reversal of 10392683700672 is 27600738629301.

10392683700672 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 268 + 370 + 0 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5152544208 + ... + 5152546224.

It is an arithmetic number, because the mean of its divisors is an integer number (29606158720).

Almost surely, 2^{10392683700672} is an apocalyptic number.

10392683700672 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 10392683700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19895338659840).

10392683700672 is an abundant number, since it is smaller than the sum of its proper divisors (29397993619008).

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

10392683700672 is a wasteful number, since it uses less digits than its factorization.

10392683700672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 10392683700672 in words is "ten trillion, three hundred ninety-two billion, six hundred eighty-three million, seven hundred thousand, six hundred seventy-two".