1086052528440 has 512 divisors, whose sum is σ = 4022991360000. Its totient is φ = 258411479040.

The previous prime is 1086052528411. The next prime is 1086052528441. The reversal of 1086052528440 is 448252506801.

1086052528440 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 0 + 525 + 2 + 84 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086052528441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162360616 + ... + 162367304.

It is an arithmetic number, because the mean of its divisors is an integer number (7857405000).

Almost surely, 2^{1086052528440} is an apocalyptic number.

1086052528440 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 1086052528440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011495680000).

1086052528440 is an abundant number, since it is smaller than the sum of its proper divisors (2936938831560).

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

1086052528440 is a wasteful number, since it uses less digits than its factorization.

1086052528440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972 (or 6962 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 1086052528440 in words is "one trillion, eighty-six billion, fifty-two million, five hundred twenty-eight thousand, four hundred forty".