10241388072288 has 192 divisors, whose sum is σ = 30698805150720. Its totient is φ = 3319282146816.

The previous prime is 10241388072287. The next prime is 10241388072353. The reversal of 10241388072288 is 88227088314201.

10241388072288 is a `hidden beast` number, since 1 + 0 + 2 + 413 + 8 + 80 + 72 + 2 + 88 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241388072287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47428695 + ... + 47644137.

It is an arithmetic number, because the mean of its divisors is an integer number (159889610160).

Almost surely, 2^{10241388072288} is an apocalyptic number.

10241388072288 is a gapful number since it is divisible by the number (18) 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 10241388072288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15349402575360).

10241388072288 is an abundant number, since it is smaller than the sum of its proper divisors (20457417078432).

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

10241388072288 is a wasteful number, since it uses less digits than its factorization.

10241388072288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216986 (or 216972 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 10241388072288 in words is "ten trillion, two hundred forty-one billion, three hundred eighty-eight million, seventy-two thousand, two hundred eighty-eight".