10053628513320 has 256 divisors, whose sum is σ = 34522387660800. Its totient is φ = 2294455173120.

The previous prime is 10053628513307. The next prime is 10053628513339. The reversal of 10053628513320 is 2331582635001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1859370057 + ... + 1859375463.

It is an arithmetic number, because the mean of its divisors is an integer number (134853076800).

Almost surely, 2^{10053628513320} is an apocalyptic number.

10053628513320 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 10053628513320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17261193830400).

10053628513320 is an abundant number, since it is smaller than the sum of its proper divisors (24468759147480).

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

10053628513320 is a wasteful number, since it uses less digits than its factorization.

10053628513320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8408 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 10053628513320 in words is "ten trillion, fifty-three billion, six hundred twenty-eight million, five hundred thirteen thousand, three hundred twenty".