10642634005359 has 8 divisors (see below), whose sum is σ = 14937030183040. Its totient is φ = 6721663582296.

The previous prime is 10642634005349. The next prime is 10642634005369. The reversal of 10642634005359 is 95350043624601.

It is an interprime number because it is at equal distance from previous prime (10642634005349) and next prime (10642634005369).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10642634005359 - 2¹⁶ = 10642633939823 is a prime.

It is a super-2 number, since 2×10642634005359² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642634005349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93356438587 + ... + 93356438700.

It is an arithmetic number, because the mean of its divisors is an integer number (1867128772880).

Almost surely, 2^{10642634005359} is an apocalyptic number.

10642634005359 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10642634005359 is a deficient number, since it is larger than the sum of its proper divisors (4294396177681).

10642634005359 is a wasteful number, since it uses less digits than its factorization.

10642634005359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186712877309.

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 10642634005359 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-four million, five thousand, three hundred fifty-nine".