10287628737120 has 1152 divisors, whose sum is σ = 43465859297280. Its totient is φ = 2263535124480.

The previous prime is 10287628737101. The next prime is 10287628737223. The reversal of 10287628737120 is 2173782678201.

10287628737120 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 628 + 7 + 3 + 7 + 1 + 2 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 1266477379 + ... + 1266485501.

It is an arithmetic number, because the mean of its divisors is an integer number (37730780640).

Almost surely, 2^{10287628737120} is an apocalyptic number.

10287628737120 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 10287628737120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21732929648640).

10287628737120 is an abundant number, since it is smaller than the sum of its proper divisors (33178230560160).

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

10287628737120 is a wasteful number, since it uses less digits than its factorization.

10287628737120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 10287628737120 in words is "ten trillion, two hundred eighty-seven billion, six hundred twenty-eight million, seven hundred thirty-seven thousand, one hundred twenty".