10158835864320 has 2880 divisors, whose sum is σ = 46047185952768. Its totient is φ = 2104322457600.

The previous prime is 10158835864291. The next prime is 10158835864357. The reversal of 10158835864320 is 2346853885101.

10158835864320 is a `hidden beast` number, since 1 + 0 + 1 + 58 + 8 + 3 + 586 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×10158835864320² (a number of 27 digits) contains 22 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 327704382705 + ... + 327704382735.

Almost surely, 2^{10158835864320} is an apocalyptic number.

10158835864320 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 10158835864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23023592976384).

10158835864320 is an abundant number, since it is smaller than the sum of its proper divisors (35888350088448).

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

10158835864320 is an equidigital number, since it uses as much as digits as its factorization.

10158835864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 10158835864320 in words is "ten trillion, one hundred fifty-eight billion, eight hundred thirty-five million, eight hundred sixty-four thousand, three hundred twenty".