10162364006250 has 288 divisors, whose sum is σ = 28875116874240. Its totient is φ = 2579526000000.

The previous prime is 10162364006243. The next prime is 10162364006269. The reversal of 10162364006250 is 5260046326101.

10162364006250 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 2 + 3 + 640 + 0 + 6 + 2 + 5 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106320981 + ... + 106416519.

It is an arithmetic number, because the mean of its divisors is an integer number (100260822480).

Almost surely, 2^{10162364006250} is an apocalyptic number.

10162364006250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10162364006250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14437558437120).

10162364006250 is an abundant number, since it is smaller than the sum of its proper divisors (18712752867990).

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

10162364006250 is an equidigital number, since it uses as much as digits as its factorization.

10162364006250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95664 (or 95641 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10162364006250 in words is "ten trillion, one hundred sixty-two billion, three hundred sixty-four million, six thousand, two hundred fifty".