10287382864320 has 560 divisors, whose sum is σ = 38208617967168. Its totient is φ = 2622410588160.

The previous prime is 10287382864271. The next prime is 10287382864357. The reversal of 10287382864320 is 2346828378201.

10287382864320 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 38 + 286 + 4 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1190527200 + ... + 1190535840.

Almost surely, 2^{10287382864320} is an apocalyptic number.

10287382864320 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 10287382864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19104308983584).

10287382864320 is an abundant number, since it is smaller than the sum of its proper divisors (27921235102848).

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

10287382864320 is a wasteful number, since it uses less digits than its factorization.

10287382864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690 (or 10671 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 10287382864320 in words is "ten trillion, two hundred eighty-seven billion, three hundred eighty-two million, eight hundred sixty-four thousand, three hundred twenty".