1061758349520 has 320 divisors, whose sum is σ = 3800885299200. Its totient is φ = 242739947520.

The previous prime is 1061758349461. The next prime is 1061758349527. The reversal of 1061758349520 is 259438571601.

It is a super-2 number, since 2×1061758349520² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061758349527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3130821 + ... + 3453339.

It is an arithmetic number, because the mean of its divisors is an integer number (11877766560).

It is a 1-persistent number, because it is pandigital, but 2⋅1061758349520 = 2123516699040 is not.

Almost surely, 2^{1061758349520} is an apocalyptic number.

1061758349520 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 1061758349520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900442649600).

1061758349520 is an abundant number, since it is smaller than the sum of its proper divisors (2739126949680).

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

1061758349520 is a wasteful number, since it uses less digits than its factorization.

1061758349520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322618 (or 322612 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 1061758349520 in words is "one trillion, sixty-one billion, seven hundred fifty-eight million, three hundred forty-nine thousand, five hundred twenty".