10207486080 has 512 divisors, whose sum is σ = 39974860800. Its totient is φ = 2440949760.

The previous prime is 10207486067. The next prime is 10207486123. The reversal of 10207486080 is 8068470201.

10207486080 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 7 + 48 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15776317 + ... + 15776963.

It is an arithmetic number, because the mean of its divisors is an integer number (78075900).

Almost surely, 2^10207486080 is an apocalyptic number.

10207486080 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 10207486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987430400).

10207486080 is an abundant number, since it is smaller than the sum of its proper divisors (29767374720).

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

10207486080 is a wasteful number, since it uses less digits than its factorization.

10207486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10207486080 in words is "ten billion, two hundred seven million, four hundred eighty-six thousand, eighty".