10601182126080 has 3360 divisors, whose sum is σ = 48965077364544. Its totient is φ = 2146468626432.

The previous prime is 10601182126061. The next prime is 10601182126091. The reversal of 10601182126080 is 8062128110601.

10601182126080 is a `hidden beast` number, since 1 + 0 + 601 + 1 + 8 + 21 + 26 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×10601182126080² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 145221672924 + ... + 145221672996.

Almost surely, 2^{10601182126080} is an apocalyptic number.

10601182126080 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 10601182126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24482538682272).

10601182126080 is an abundant number, since it is smaller than the sum of its proper divisors (38363895238464).

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

10601182126080 is an equidigital number, since it uses as much as digits as its factorization.

10601182126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10601182126080 in words is "ten trillion, six hundred one billion, one hundred eighty-two million, one hundred twenty-six thousand, eighty".