10510407145056 has 1536 divisors, whose sum is σ = 38041436160000. Its totient is φ = 2463874744320.

The previous prime is 10510407145019. The next prime is 10510407145067. The reversal of 10510407145056 is 65054170401501.

It is a super-2 number, since 2×10510407145056² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 27019041310 + ... + 27019041698.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560000).

Almost surely, 2^{10510407145056} is an apocalyptic number.

10510407145056 is a gapful number since it is divisible by the number (16) 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 10510407145056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19020718080000).

10510407145056 is an abundant number, since it is smaller than the sum of its proper divisors (27531029014944).

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

10510407145056 is a wasteful number, since it uses less digits than its factorization.

10510407145056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

Adding to 10510407145056 its reverse (65054170401501), we get a palindrome (75564577546557).

The spelling of 10510407145056 in words is "ten trillion, five hundred ten billion, four hundred seven million, one hundred forty-five thousand, fifty-six".