10075309013952 has 672 divisors, whose sum is σ = 36742967066624. Its totient is φ = 2567796940800.

The previous prime is 10075309013947. The next prime is 10075309013977. The reversal of 10075309013952 is 25931090357001.

10075309013952 is a `hidden beast` number, since 10 + 0 + 7 + 530 + 9 + 0 + 13 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 10075309013898 and 10075309013907.

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, 1230042177 + ... + 1230050367.

Almost surely, 2^{10075309013952} is an apocalyptic number.

10075309013952 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 10075309013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18371483533312).

10075309013952 is an abundant number, since it is smaller than the sum of its proper divisors (26667658052672).

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

10075309013952 is a wasteful number, since it uses less digits than its factorization.

10075309013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9017 (or 9004 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 10075309013952 in words is "ten trillion, seventy-five billion, three hundred nine million, thirteen thousand, nine hundred fifty-two".