10287430133760 has 1536 divisors, whose sum is σ = 41028393369600. Its totient is φ = 2427963310080.

The previous prime is 10287430133723. The next prime is 10287430133797. The reversal of 10287430133760 is 6733103478201.

10287430133760 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 4 + 301 + 337 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10287430133723) and next prime (10287430133797).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14150522517 + ... + 14150523243.

It is an arithmetic number, because the mean of its divisors is an integer number (26711193600).

Almost surely, 2^{10287430133760} is an apocalyptic number.

10287430133760 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 10287430133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20514196684800).

10287430133760 is an abundant number, since it is smaller than the sum of its proper divisors (30740963235840).

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

10287430133760 is a wasteful number, since it uses less digits than its factorization.

10287430133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10287430133760 in words is "ten trillion, two hundred eighty-seven billion, four hundred thirty million, one hundred thirty-three thousand, seven hundred sixty".