10386287493120 has 2592 divisors, whose sum is σ = 47775674995776. Its totient is φ = 2158189608960.

The previous prime is 10386287493103. The next prime is 10386287493157. The reversal of 10386287493120 is 2139478268301.

It is a happy number.

10386287493120 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 6 + 28 + 7 + 493 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 944207953915 + ... + 944207953925.

It is an arithmetic number, because the mean of its divisors is an integer number (18431973378).

Almost surely, 2^{10386287493120} is an apocalyptic number.

10386287493120 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 10386287493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23887837497888).

10386287493120 is an abundant number, since it is smaller than the sum of its proper divisors (37389387502656).

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

10386287493120 is an frugal number, since it uses more digits than its factorization.

10386287493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10386287493120 in words is "ten trillion, three hundred eighty-six billion, two hundred eighty-seven million, four hundred ninety-three thousand, one hundred twenty".