10065152061000 has 384 divisors, whose sum is σ = 36723491251200. Its totient is φ = 2478812582400.

The previous prime is 10065152060969. The next prime is 10065152061047. The reversal of 10065152061000 is 16025156001.

It is a happy number.

10065152061000 is a `hidden beast` number, since 1 + 0 + 0 + 651 + 5 + 2 + 0 + 6 + 1 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10065152061000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5164657 + ... + 6841343.

It is an arithmetic number, because the mean of its divisors is an integer number (95634091800).

Almost surely, 2^{10065152061000} is an apocalyptic number.

10065152061000 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 10065152061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361745625600).

10065152061000 is an abundant number, since it is smaller than the sum of its proper divisors (26658339190200).

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

10065152061000 is a wasteful number, since it uses less digits than its factorization.

10065152061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676766 (or 1676749 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10065152061000 in words is "ten trillion, sixty-five billion, one hundred fifty-two million, sixty-one thousand".