1610987947008 has 352 divisors, whose sum is σ = 4882879868928. Its totient is φ = 467870515200.

The previous prime is 1610987946949. The next prime is 1610987947027. The reversal of 1610987947008 is 8007497890161.

It is a Cunningham number, because it is equal to 1269247²-1.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 83760753 + ... + 83779983.

Almost surely, 2^{1610987947008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610987947008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441439934464).

1610987947008 is an abundant number, since it is smaller than the sum of its proper divisors (3271891921920).

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

1610987947008 is a wasteful number, since it uses less digits than its factorization.

1610987947008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19369 (or 19351 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 60.

The spelling of 1610987947008 in words is "one trillion, six hundred ten billion, nine hundred eighty-seven million, nine hundred forty-seven thousand, eight".