1861958145600 has 1176 divisors, whose sum is σ = 7934854303488. Its totient is φ = 421023744000.

The previous prime is 1861958145577. The next prime is 1861958145601. The reversal of 1861958145600 is 65418591681.

1861958145600 is a `hidden beast` number, since 1 + 8 + 6 + 1 + 9 + 581 + 4 + 56 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1861958145601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 791984425 + ... + 791986775.

It is an arithmetic number, because the mean of its divisors is an integer number (6747325088).

Almost surely, 2^{1861958145600} is an apocalyptic number.

1861958145600 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 1861958145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967427151744).

1861958145600 is an abundant number, since it is smaller than the sum of its proper divisors (6072896157888).

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

1861958145600 is an equidigital number, since it uses as much as digits as its factorization.

1861958145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 1861958145600 in words is "one trillion, eight hundred sixty-one billion, nine hundred fifty-eight million, one hundred forty-five thousand, six hundred".