10071129600 has 960 divisors, whose sum is σ = 44327162880. Its totient is φ = 2189721600.

The previous prime is 10071129559. The next prime is 10071129617. The reversal of 10071129600 is 692117001.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55641510 + ... + 55641690.

It is an arithmetic number, because the mean of its divisors is an integer number (46174128).

Almost surely, 2^10071129600 is an apocalyptic number.

10071129600 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 10071129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22163581440).

10071129600 is an abundant number, since it is smaller than the sum of its proper divisors (34256033280).

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

10071129600 is a wasteful number, since it uses less digits than its factorization.

10071129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 10071129600 in words is "ten billion, seventy-one million, one hundred twenty-nine thousand, six hundred".