10072638350320 has 320 divisors, whose sum is σ = 30211410345984. Its totient is φ = 3035538063360.

The previous prime is 10072638350293. The next prime is 10072638350321. The reversal of 10072638350320 is 2305383627001.

It is a super-2 number, since 2×10072638350320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072638350321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37204240 + ... + 37474000.

Almost surely, 2^{10072638350320} is an apocalyptic number.

10072638350320 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 10072638350320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15105705172992).

10072638350320 is an abundant number, since it is smaller than the sum of its proper divisors (20138771995664).

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

10072638350320 is a wasteful number, since it uses less digits than its factorization.

10072638350320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270040 (or 270034 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 10072638350320 in words is "ten trillion, seventy-two billion, six hundred thirty-eight million, three hundred fifty thousand, three hundred twenty".