10287901761984 has 2240 divisors, whose sum is σ = 40996142300160. Its totient is φ = 2556000437760.

The previous prime is 10287901761983. The next prime is 10287901762003. The reversal of 10287901761984 is 48916710978201.

10287901761984 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 9 + 0 + 1 + 7 + 619 + 8 + 4 = 666.

10287901761984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287901761983) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 447300076597 + ... + 447300076619.

Almost surely, 2^{10287901761984} is an apocalyptic number.

10287901761984 is a gapful number since it is divisible by the number (14) 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 10287901761984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498071150080).

10287901761984 is an abundant number, since it is smaller than the sum of its proper divisors (30708240538176).

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

10287901761984 is an frugal number, since it uses more digits than its factorization.

10287901761984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 10287901761984 in words is "ten trillion, two hundred eighty-seven billion, nine hundred one million, seven hundred sixty-one thousand, nine hundred eighty-four".