10309936393152 has 336 divisors, whose sum is σ = 34287584228352. Its totient is φ = 2927252643840.

The previous prime is 10309936393139. The next prime is 10309936393181. The reversal of 10309936393152 is 25139363990301.

10309936393152 is a `hidden beast` number, since 10 + 3 + 0 + 9 + 93 + 6 + 393 + 152 = 666.

It is a super-2 number, since 2×10309936393152² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23805163 + ... + 24234389.

It is an arithmetic number, because the mean of its divisors is an integer number (102046381632).

Almost surely, 2^{10309936393152} is an apocalyptic number.

10309936393152 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 10309936393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17143792114176).

10309936393152 is an abundant number, since it is smaller than the sum of its proper divisors (23977647835200).

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

10309936393152 is a wasteful number, since it uses less digits than its factorization.

10309936393152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429496 (or 429483 counting only the distinct ones).

The product of its (nonzero) digits is 3542940, while the sum is 54.

The spelling of 10309936393152 in words is "ten trillion, three hundred nine billion, nine hundred thirty-six million, three hundred ninety-three thousand, one hundred fifty-two".