10069060617000 has 2304 divisors, whose sum is σ = 46094420736000. Its totient is φ = 2023781760000.

The previous prime is 10069060616981. The next prime is 10069060617023. The reversal of 10069060617000 is 71606096001.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4962571986 + ... + 4962574014.

It is an arithmetic number, because the mean of its divisors is an integer number (20006259000).

Almost surely, 2^{10069060617000} is an apocalyptic number.

10069060617000 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 10069060617000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23047210368000).

10069060617000 is an abundant number, since it is smaller than the sum of its proper divisors (36025360119000).

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

10069060617000 is a wasteful number, since it uses less digits than its factorization.

10069060617000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10069060617000 in words is "ten trillion, sixty-nine billion, sixty million, six hundred seventeen thousand".