10207820388480 has 2048 divisors, whose sum is σ = 41180621045760. Its totient is φ = 2115271065600.

The previous prime is 10207820388473. The next prime is 10207820388481. The reversal of 10207820388480 is 8488302870201.

It is not an unprimeable number, because it can be changed into a prime (10207820388481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48378295575 + ... + 48378295785.

It is an arithmetic number, because the mean of its divisors is an integer number (20107725120).

Almost surely, 2^{10207820388480} is an apocalyptic number.

10207820388480 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 10207820388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20590310522880).

10207820388480 is an abundant number, since it is smaller than the sum of its proper divisors (30972800657280).

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

10207820388480 is a wasteful number, since it uses less digits than its factorization.

10207820388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 10207820388480 in words is "ten trillion, two hundred seven billion, eight hundred twenty million, three hundred eighty-eight thousand, four hundred eighty".