1611205500450 has 192 divisors, whose sum is σ = 4929593985792. Its totient is φ = 339137971200.

The previous prime is 1611205500439. The next prime is 1611205500461. The reversal of 1611205500450 is 540055021161.

It is an interprime number because it is at equal distance from previous prime (1611205500439) and next prime (1611205500461).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5606464 + ... + 5886836.

It is an arithmetic number, because the mean of its divisors is an integer number (25674968676).

Almost surely, 2^{1611205500450} is an apocalyptic number.

1611205500450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1611205500450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464796992896).

1611205500450 is an abundant number, since it is smaller than the sum of its proper divisors (3318388485342).

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

1611205500450 is a wasteful number, since it uses less digits than its factorization.

1611205500450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280829 (or 280824 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 1611205500450 in words is "one trillion, six hundred eleven billion, two hundred five million, five hundred thousand, four hundred fifty".