10075927621368 has 256 divisors, whose sum is σ = 30402054144000. Its totient is φ = 2718465214464.

The previous prime is 10075927621351. The next prime is 10075927621369. The reversal of 10075927621368 is 86312672957001.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075927621369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1823034621 + ... + 1823040147.

It is an arithmetic number, because the mean of its divisors is an integer number (118758024000).

Almost surely, 2^{10075927621368} 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 10075927621368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201027072000).

10075927621368 is an abundant number, since it is smaller than the sum of its proper divisors (20326126522632).

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

10075927621368 is a wasteful number, since it uses less digits than its factorization.

10075927621368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7314 (or 7310 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 10075927621368 in words is "ten trillion, seventy-five billion, nine hundred twenty-seven million, six hundred twenty-one thousand, three hundred sixty-eight".