1084752936960 has 1440 divisors, whose sum is σ = 4647482542080. Its totient is φ = 213044428800.

The previous prime is 1084752936937. The next prime is 1084752936961. The reversal of 1084752936960 is 696392574801.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1084752936894 and 1084752936903.

It is not an unprimeable number, because it can be changed into a prime (1084752936961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2516827945 + ... + 2516828375.

It is an arithmetic number, because the mean of its divisors is an integer number (3227418432).

It is a 1-persistent number, because it is pandigital, but 2⋅1084752936960 = 2169505873920 is not.

Almost surely, 2^{1084752936960} is an apocalyptic number.

1084752936960 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 1084752936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323741271040).

1084752936960 is an abundant number, since it is smaller than the sum of its proper divisors (3562729605120).

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

1084752936960 is a wasteful number, since it uses less digits than its factorization.

1084752936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 1084752936960 in words is "one trillion, eighty-four billion, seven hundred fifty-two million, nine hundred thirty-six thousand, nine hundred sixty".