10287603130560 has 224 divisors, whose sum is σ = 37331598712320. Its totient is φ = 2351307522048.

The previous prime is 10287603130547. The next prime is 10287603130603. The reversal of 10287603130560 is 6503130678201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×10287603130560³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140391211 + ... + 140464469.

Almost surely, 2^{10287603130560} is an apocalyptic number.

10287603130560 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 10287603130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665799356160).

10287603130560 is an abundant number, since it is smaller than the sum of its proper divisors (27043995581760).

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

10287603130560 is a wasteful number, since it uses less digits than its factorization.

10287603130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94183 (or 94173 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 10287603130560 in words is "ten trillion, two hundred eighty-seven billion, six hundred three million, one hundred thirty thousand, five hundred sixty".