10012487760 has 400 divisors, whose sum is σ = 39938247360. Its totient is φ = 2299207680.

The previous prime is 10012487747. The next prime is 10012487783. The reversal of 10012487760 is 6778421001.

10012487760 is a `hidden beast` number, since 100 + 1 + 2 + 487 + 76 + 0 = 666.

It is a super-2 number, since 2×10012487760² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1350624 + ... + 1358016.

Almost surely, 2^10012487760 is an apocalyptic number.

10012487760 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 10012487760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19969123680).

10012487760 is an abundant number, since it is smaller than the sum of its proper divisors (29925759600).

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

10012487760 is a wasteful number, since it uses less digits than its factorization.

10012487760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 7433 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10012487760 in words is "ten billion, twelve million, four hundred eighty-seven thousand, seven hundred sixty".