10235875991040 has 960 divisors, whose sum is σ = 41354868297600. Its totient is φ = 2291235028992.

The previous prime is 10235875990981. The next prime is 10235875991051. The reversal of 10235875991040 is 4019957853201.

It is a happy number.

10235875991040 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 5 + 8 + 7 + 599 + 1 + 0 + 40 = 666.

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

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, 7940942716 + ... + 7940944004.

It is an arithmetic number, because the mean of its divisors is an integer number (43077987810).

Almost surely, 2^{10235875991040} is an apocalyptic number.

10235875991040 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 10235875991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20677434148800).

10235875991040 is an abundant number, since it is smaller than the sum of its proper divisors (31118992306560).

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

10235875991040 is a wasteful number, since it uses less digits than its factorization.

10235875991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 10235875991040 in words is "ten trillion, two hundred thirty-five billion, eight hundred seventy-five million, nine hundred ninety-one thousand, forty".