10641289079520 has 384 divisors, whose sum is σ = 40635852526080. Its totient is φ = 2579358781440.

The previous prime is 10641289079497. The next prime is 10641289079539. The reversal of 10641289079520 is 2597098214601.

It is a happy number.

10641289079520 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 28 + 90 + 7 + 9 + 520 = 666.

It is a super-2 number, since 2×10641289079520² (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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 624736924 + ... + 624753956.

It is an arithmetic number, because the mean of its divisors is an integer number (105822532620).

Almost surely, 2^{10641289079520} is an apocalyptic number.

10641289079520 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 10641289079520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20317926263040).

10641289079520 is an abundant number, since it is smaller than the sum of its proper divisors (29994563446560).

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

10641289079520 is a wasteful number, since it uses less digits than its factorization.

10641289079520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30215 (or 30201 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10641289079520 in words is "ten trillion, six hundred forty-one billion, two hundred eighty-nine million, seventy-nine thousand, five hundred twenty".