10071900608 has 336 divisors, whose sum is σ = 27130613760. Its totient is φ = 3688312320.

The previous prime is 10071900533. The next prime is 10071900617. The reversal of 10071900608 is 80600917001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79306241 + ... + 79306367.

Almost surely, 2^10071900608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10071900608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13565306880).

10071900608 is an abundant number, since it is smaller than the sum of its proper divisors (17058713152).

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

10071900608 is a wasteful number, since it uses less digits than its factorization.

10071900608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The spelling of 10071900608 in words is "ten billion, seventy-one million, nine hundred thousand, six hundred eight".