10487662080 has 720 divisors, whose sum is σ = 41690032560. Its totient is φ = 2239856640.

The previous prime is 10487662067. The next prime is 10487662091. The reversal of 10487662080 is 8026678401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 338311665 + ... + 338311695.

It is an arithmetic number, because the mean of its divisors is an integer number (57902823).

Almost surely, 2^10487662080 is an apocalyptic number.

10487662080 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 10487662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845016280).

10487662080 is an abundant number, since it is smaller than the sum of its proper divisors (31202370480).

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

10487662080 is an equidigital number, since it uses as much as digits as its factorization.

10487662080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 10487662080 in words is "ten billion, four hundred eighty-seven million, six hundred sixty-two thousand, eighty".