10034356635072 has 1176 divisors, whose sum is σ = 38717332914176. Its totient is φ = 2521943424000.

The previous prime is 10034356634983. The next prime is 10034356635091. The reversal of 10034356635072 is 27053665343001.

It is a happy number.

10034356635072 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 4 + 3 + 5 + 6 + 635 + 0 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1225042497 + ... + 1225050687.

Almost surely, 2^{10034356635072} is an apocalyptic number.

10034356635072 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 10034356635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19358666457088).

10034356635072 is an abundant number, since it is smaller than the sum of its proper divisors (28682976279104).

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

10034356635072 is an equidigital number, since it uses as much as digits as its factorization.

10034356635072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 10034356635072 in words is "ten trillion, thirty-four billion, three hundred fifty-six million, six hundred thirty-five thousand, seventy-two".