10060261005312 has 1440 divisors, whose sum is σ = 37823313528000. Its totient is φ = 2646011805696.

The previous prime is 10060261005283. The next prime is 10060261005331. The reversal of 10060261005312 is 21350016206001.

10060261005312 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 26 + 100 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6494680314 + ... + 6494681862.

It is an arithmetic number, because the mean of its divisors is an integer number (26266189950).

Almost surely, 2^{10060261005312} is an apocalyptic number.

10060261005312 is a gapful number since it is divisible by the number (12) 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 10060261005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18911656764000).

10060261005312 is an abundant number, since it is smaller than the sum of its proper divisors (27763052522688).

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

10060261005312 is a wasteful number, since it uses less digits than its factorization.

10060261005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10060261005312 in words is "ten trillion, sixty billion, two hundred sixty-one million, five thousand, three hundred twelve".