10487390760 has 640 divisors, whose sum is σ = 44427018240. Its totient is φ = 2155507200.

The previous prime is 10487390713. The next prime is 10487390773. The reversal of 10487390760 is 6709378401.

10487390760 is a `hidden beast` number, since 10 + 487 + 3 + 90 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 31683795 + ... + 31684125.

It is an arithmetic number, because the mean of its divisors is an integer number (69417216).

Almost surely, 2^10487390760 is an apocalyptic number.

10487390760 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 10487390760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22213509120).

10487390760 is an abundant number, since it is smaller than the sum of its proper divisors (33939627480).

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

10487390760 is a wasteful number, since it uses less digits than its factorization.

10487390760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10487390760 in words is "ten billion, four hundred eighty-seven million, three hundred ninety thousand, seven hundred sixty".