10133975259408 has 480 divisors, whose sum is σ = 35901591539968. Its totient is φ = 2396431319040.

The previous prime is 10133975259403. The next prime is 10133975259571. The reversal of 10133975259408 is 80495257933101.

It is a happy number.

It is a super-3 number, since 3×10133975259408³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10133975259403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38451216 + ... + 38713872.

Almost surely, 2^{10133975259408} 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 10133975259408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17950795769984).

10133975259408 is an abundant number, since it is smaller than the sum of its proper divisors (25767616280560).

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

10133975259408 is a wasteful number, since it uses less digits than its factorization.

10133975259408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262783 (or 262766 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 10133975259408 in words is "ten trillion, one hundred thirty-three billion, nine hundred seventy-five million, two hundred fifty-nine thousand, four hundred eight".