10056614412450 has 96 divisors (see below), whose sum is σ = 25134183309312. Its totient is φ = 2660932872000.

The previous prime is 10056614412421. The next prime is 10056614412451. The reversal of 10056614412450 is 5421441665001.

It is a super-2 number, since 2×10056614412450² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10056614412399 and 10056614412408.

It is not an unprimeable number, because it can be changed into a prime (10056614412451) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 165638799 + ... + 165699501.

It is an arithmetic number, because the mean of its divisors is an integer number (261814409472).

Almost surely, 2^{10056614412450} is an apocalyptic number.

10056614412450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10056614412450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12567091654656).

10056614412450 is an abundant number, since it is smaller than the sum of its proper divisors (15077568896862).

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

10056614412450 is a wasteful number, since it uses less digits than its factorization.

10056614412450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69280 (or 69275 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 10056614412450 in words is "ten trillion, fifty-six billion, six hundred fourteen million, four hundred twelve thousand, four hundred fifty".