10401156352060 has 192 divisors, whose sum is σ = 23627807723520. Its totient is φ = 3836603724800.

The previous prime is 10401156352051. The next prime is 10401156352079. The reversal of 10401156352060 is 6025365110401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 430161051 + ... + 430185229.

It is an arithmetic number, because the mean of its divisors is an integer number (123061498560).

Almost surely, 2^{10401156352060} is an apocalyptic number.

10401156352060 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 10401156352060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11813903861760).

10401156352060 is an abundant number, since it is smaller than the sum of its proper divisors (13226651371460).

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

10401156352060 is a wasteful number, since it uses less digits than its factorization.

10401156352060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24556 (or 24554 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 10401156352060 in words is "ten trillion, four hundred one billion, one hundred fifty-six million, three hundred fifty-two thousand, sixty".