1065751972128 has 192 divisors, whose sum is σ = 3184810876800. Its totient is φ = 346597954560.

The previous prime is 1065751972111. The next prime is 1065751972189. The reversal of 1065751972128 is 8212791575601.

1065751972128 is a `hidden beast` number, since 1 + 0 + 6 + 57 + 519 + 72 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×1065751972128² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8131758 + ... + 8261778.

It is an arithmetic number, because the mean of its divisors is an integer number (16587556650).

Almost surely, 2^{1065751972128} is an apocalyptic number.

1065751972128 is a gapful number since it is divisible by the number (18) 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 1065751972128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592405438400).

1065751972128 is an abundant number, since it is smaller than the sum of its proper divisors (2119058904672).

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

1065751972128 is a wasteful number, since it uses less digits than its factorization.

1065751972128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130272 (or 130258 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 1065751972128 in words is "one trillion, sixty-five billion, seven hundred fifty-one million, nine hundred seventy-two thousand, one hundred twenty-eight".