10641998868480 has 4160 divisors, whose sum is σ = 49981680156672. Its totient is φ = 2109776855040.

The previous prime is 10641998868437. The next prime is 10641998868491. The reversal of 10641998868480 is 8486889914601.

10641998868480 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 9 + 9 + 88 + 68 + 480 = 666.

It is a super-2 number, since 2×10641998868480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10641998868399 and 10641998868408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 226425507817 + ... + 226425507863.

Almost surely, 2^{10641998868480} is an apocalyptic number.

10641998868480 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 10641998868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24990840078336).

10641998868480 is an abundant number, since it is smaller than the sum of its proper divisors (39339681288192).

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

10641998868480 is a wasteful number, since it uses less digits than its factorization.

10641998868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 10641998868480 in words is "ten trillion, six hundred forty-one billion, nine hundred ninety-eight million, eight hundred sixty-eight thousand, four hundred eighty".