10396938365856 has 576 divisors, whose sum is σ = 37419388231680. Its totient is φ = 2775587834880.

The previous prime is 10396938365819. The next prime is 10396938365893. The reversal of 10396938365856 is 65856383969301.

10396938365856 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 6 + 9 + 3 + 8 + 36 + 585 + 6 = 666.

10396938365856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10396938365819) and next prime (10396938365893).

It is a super-2 number, since 2×10396938365856² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48828135 + ... + 49040601.

It is an arithmetic number, because the mean of its divisors is an integer number (64964215680).

Almost surely, 2^{10396938365856} is an apocalyptic number.

10396938365856 is a gapful number since it is divisible by the number (16) 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 10396938365856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18709694115840).

10396938365856 is an abundant number, since it is smaller than the sum of its proper divisors (27022449865824).

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

10396938365856 is a wasteful number, since it uses less digits than its factorization.

10396938365856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212559 (or 212539 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 10396938365856 in words is "ten trillion, three hundred ninety-six billion, nine hundred thirty-eight million, three hundred sixty-five thousand, eight hundred fifty-six".