10005055235040 has 192 divisors, whose sum is σ = 32304722812992. Its totient is φ = 2601319219200.

The previous prime is 10005055235027. The next prime is 10005055235069. The reversal of 10005055235040 is 4053255050001.

It is a happy number.

10005055235040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10005055235040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10005055234989 and 10005055235007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31586250 + ... + 31901430.

It is an arithmetic number, because the mean of its divisors is an integer number (168253764651).

Almost surely, 2^{10005055235040} is an apocalyptic number.

10005055235040 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 10005055235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16152361406496).

10005055235040 is an abundant number, since it is smaller than the sum of its proper divisors (22299667577952).

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

10005055235040 is a wasteful number, since it uses less digits than its factorization.

10005055235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316853 (or 316845 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 10005055235040 in words is "ten trillion, five billion, fifty-five million, two hundred thirty-five thousand, forty".