1085756293512 has 256 divisors, whose sum is σ = 3325950720000. Its totient is φ = 325445472000.

The previous prime is 1085756293483. The next prime is 1085756293543. The reversal of 1085756293512 is 2153926575801.

1085756293512 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 7 + 5 + 629 + 3 + 5 + 1 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 407717893 + ... + 407720555.

It is an arithmetic number, because the mean of its divisors is an integer number (12991995000).

Almost surely, 2^{1085756293512} is an apocalyptic number.

1085756293512 is a gapful number since it is divisible by the number (12) 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 1085756293512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662975360000).

1085756293512 is an abundant number, since it is smaller than the sum of its proper divisors (2240194426488).

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

1085756293512 is a wasteful number, since it uses less digits than its factorization.

1085756293512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 1085756293512 in words is "one trillion, eighty-five billion, seven hundred fifty-six million, two hundred ninety-three thousand, five hundred twelve".