10357393768320 has 512 divisors, whose sum is σ = 35396946086400. Its totient is φ = 2566807879680.

The previous prime is 10357393768313. The next prime is 10357393768331. The reversal of 10357393768320 is 2386739375301.

It is a super-3 number, since 3×10357393768320³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2634796755 + ... + 2634800685.

It is an arithmetic number, because the mean of its divisors is an integer number (69134660325).

Almost surely, 2^{10357393768320} is an apocalyptic number.

10357393768320 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 10357393768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17698473043200).

10357393768320 is an abundant number, since it is smaller than the sum of its proper divisors (25039552318080).

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

10357393768320 is a wasteful number, since it uses less digits than its factorization.

10357393768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 57.

The spelling of 10357393768320 in words is "ten trillion, three hundred fifty-seven billion, three hundred ninety-three million, seven hundred sixty-eight thousand, three hundred twenty".