1061858212800 has 1344 divisors, whose sum is σ = 4510751293440. Its totient is φ = 212299776000.

The previous prime is 1061858212781. The next prime is 1061858212801. The reversal of 1061858212800 is 82128581601.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1061858212800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061858212801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1197133957 + ... + 1197134843.

It is an arithmetic number, because the mean of its divisors is an integer number (3356213760).

Almost surely, 2^{1061858212800} is an apocalyptic number.

1061858212800 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 1061858212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255375646720).

1061858212800 is an abundant number, since it is smaller than the sum of its proper divisors (3448893080640).

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

1061858212800 is a wasteful number, since it uses less digits than its factorization.

1061858212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The spelling of 1061858212800 in words is "one trillion, sixty-one billion, eight hundred fifty-eight million, two hundred twelve thousand, eight hundred".