10629712859601 has 16 divisors (see below), whose sum is σ = 15723458161920. Its totient is φ = 6333059535120.

The previous prime is 10629712859593. The next prime is 10629712859641. The reversal of 10629712859601 is 10695821792601.

It is a happy number.

It is not a de Polignac number, because 10629712859601 - 2³ = 10629712859593 is a prime.

It is a super-2 number, since 2×10629712859601² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10629712859641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2729765095 + ... + 2729768988.

It is an arithmetic number, because the mean of its divisors is an integer number (982716135120).

Almost surely, 2^{10629712859601} is an apocalyptic number.

10629712859601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10629712859601 is a deficient number, since it is larger than the sum of its proper divisors (5093745302319).

10629712859601 is a wasteful number, since it uses less digits than its factorization.

10629712859601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459534156.

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 10629712859601 in words is "ten trillion, six hundred twenty-nine billion, seven hundred twelve million, eight hundred fifty-nine thousand, six hundred one".