10158709372416 has 1920 divisors, whose sum is σ = 36216068308992. Its totient is φ = 2707955712000.

The previous prime is 10158709372397. The next prime is 10158709372421. The reversal of 10158709372416 is 61427390785101.

10158709372416 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 8 + 70 + 93 + 72 + 416 = 666.

It is a super-2 number, since 2×10158709372416² (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 191 ways as a sum of consecutive naturals, for example, 94941209035 + ... + 94941209141.

It is a 1-persistent number, because it is pandigital, but 2⋅10158709372416 = 20317418744832 is not.

Almost surely, 2^{10158709372416} is an apocalyptic number.

10158709372416 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 10158709372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18108034154496).

10158709372416 is an abundant number, since it is smaller than the sum of its proper divisors (26057358936576).

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

10158709372416 is a wasteful number, since it uses less digits than its factorization.

10158709372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10158709372416 in words is "ten trillion, one hundred fifty-eight billion, seven hundred nine million, three hundred seventy-two thousand, four hundred sixteen".