10357713935712 has 1728 divisors, whose sum is σ = 38547889196544. Its totient is φ = 2696462991360.

The previous prime is 10357713935671. The next prime is 10357713935713. The reversal of 10357713935712 is 21753931775301.

10357713935712 is a `hidden beast` number, since 1 + 0 + 3 + 57 + 7 + 13 + 9 + 3 + 571 + 2 = 666.

It is a super-3 number, since 3×10357713935712³ (a number of 40 digits) contains 333 as substring.

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 (10357713935713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53666911488 + ... + 53666911680.

It is an arithmetic number, because the mean of its divisors is an integer number (22307806248).

Almost surely, 2^{10357713935712} is an apocalyptic number.

10357713935712 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 10357713935712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19273944598272).

10357713935712 is an abundant number, since it is smaller than the sum of its proper divisors (28190175260832).

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

10357713935712 is a wasteful number, since it uses less digits than its factorization.

10357713935712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4167450, while the sum is 54.

The spelling of 10357713935712 in words is "ten trillion, three hundred fifty-seven billion, seven hundred thirteen million, nine hundred thirty-five thousand, seven hundred twelve".