10287907056360 has 512 divisors, whose sum is σ = 37894072320000. Its totient is φ = 2472570178560.

The previous prime is 10287907056347. The next prime is 10287907056487. The reversal of 10287907056360 is 6365070978201.

10287907056360 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 9 + 0 + 70 + 563 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10287907056297 and 10287907056306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37394022 + ... + 37668138.

It is an arithmetic number, because the mean of its divisors is an integer number (74011860000).

Almost surely, 2^{10287907056360} is an apocalyptic number.

10287907056360 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 10287907056360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18947036160000).

10287907056360 is an abundant number, since it is smaller than the sum of its proper divisors (27606165263640).

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

10287907056360 is a wasteful number, since it uses less digits than its factorization.

10287907056360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274246 (or 274236 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 10287907056360 in words is "ten trillion, two hundred eighty-seven billion, nine hundred seven million, fifty-six thousand, three hundred sixty".