1061805507840 has 2304 divisors, whose sum is σ = 5086126080000. Its totient is φ = 207222865920.

The previous prime is 1061805507839. The next prime is 1061805507859. The reversal of 1061805507840 is 487055081601.

1061805507840 is a `hidden beast` number, since 1 + 0 + 6 + 18 + 0 + 550 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1061805507840² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2216712721 + ... + 2216713199.

It is an arithmetic number, because the mean of its divisors is an integer number (2207520000).

Almost surely, 2^{1061805507840} is an apocalyptic number.

1061805507840 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 1061805507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543063040000).

1061805507840 is an abundant number, since it is smaller than the sum of its proper divisors (4024320572160).

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

1061805507840 is a wasteful number, since it uses less digits than its factorization.

1061805507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 1061805507840 in words is "one trillion, sixty-one billion, eight hundred five million, five hundred seven thousand, eight hundred forty".