10487707560720 has 1600 divisors, whose sum is σ = 43317647493120. Its totient is φ = 2327076864000.

The previous prime is 10487707560599. The next prime is 10487707560761. The reversal of 10487707560720 is 2706570778401.

10487707560720 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 7 + 7 + 0 + 7 + 5 + 607 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4483841311 + ... + 4483843649.

Almost surely, 2^{10487707560720} is an apocalyptic number.

10487707560720 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 10487707560720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21658823746560).

10487707560720 is an abundant number, since it is smaller than the sum of its proper divisors (32829939932400).

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

10487707560720 is a wasteful number, since it uses less digits than its factorization.

10487707560720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 10487707560720 in words is "ten trillion, four hundred eighty-seven billion, seven hundred seven million, five hundred sixty thousand, seven hundred twenty".