1075612599360 has 448 divisors, whose sum is σ = 4301491219200. Its totient is φ = 250830618624.

The previous prime is 1075612599359. The next prime is 1075612599377. The reversal of 1075612599360 is 639952165701.

1075612599360 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 6 + 12 + 599 + 36 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1075612599297 and 1075612599306.

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, 1882072 + ... + 2386088.

It is an arithmetic number, because the mean of its divisors is an integer number (9601542900).

Almost surely, 2^{1075612599360} is an apocalyptic number.

1075612599360 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 1075612599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150745609600).

1075612599360 is an abundant number, since it is smaller than the sum of its proper divisors (3225878619840).

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

1075612599360 is a wasteful number, since it uses less digits than its factorization.

1075612599360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504075 (or 504059 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 1075612599360 in words is "one trillion, seventy-five billion, six hundred twelve million, five hundred ninety-nine thousand, three hundred sixty".