10005076511040 has 336 divisors, whose sum is σ = 35129521905408. Its totient is φ = 2410386481152.

The previous prime is 10005076511029. The next prime is 10005076511057. The reversal of 10005076511040 is 4011567050001.

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 = 10005076510989 and 10005076511007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6969234 + ... + 8281326.

It is an arithmetic number, because the mean of its divisors is an integer number (104552148528).

Almost surely, 2^{10005076511040} is an apocalyptic number.

10005076511040 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 10005076511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564760952704).

10005076511040 is an abundant number, since it is smaller than the sum of its proper divisors (25124445394368).

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

10005076511040 is a wasteful number, since it uses less digits than its factorization.

10005076511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312186 (or 1312163 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 10005076511040 in words is "ten trillion, five billion, seventy-six million, five hundred eleven thousand, forty".