10641957120 has 288 divisors, whose sum is σ = 38304887040. Its totient is φ = 2797240320.

The previous prime is 10641957023. The next prime is 10641957121. The reversal of 10641957120 is 2175914601.

10641957120 is a `hidden beast` number, since 1 + 0 + 64 + 1 + 9 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10641957120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10641957121) 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, 2451592 + ... + 2455928.

It is an arithmetic number, because the mean of its divisors is an integer number (133003080).

Almost surely, 2^10641957120 is an apocalyptic number.

10641957120 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 10641957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152443520).

10641957120 is an abundant number, since it is smaller than the sum of its proper divisors (27662929920).

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

10641957120 is an equidigital number, since it uses as much as digits as its factorization.

10641957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10641957120 in words is "ten billion, six hundred forty-one million, nine hundred fifty-seven thousand, one hundred twenty".