1016161351600 has 120 divisors (see below), whose sum is σ = 2580061740480. Its totient is φ = 383536800000.

The previous prime is 1016161351571. The next prime is 1016161351649. The reversal of 1016161351600 is 61531616101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1641255 + ... + 2173945.

It is an arithmetic number, because the mean of its divisors is an integer number (21500514504).

Almost surely, 2^{1016161351600} is an apocalyptic number.

1016161351600 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 1016161351600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290030870240).

1016161351600 is an abundant number, since it is smaller than the sum of its proper divisors (1563900388880).

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

1016161351600 is a wasteful number, since it uses less digits than its factorization.

1016161351600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532979 (or 532968 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

Adding to 1016161351600 its reverse (61531616101), we get a palindrome (1077692967701).

The spelling of 1016161351600 in words is "one trillion, sixteen billion, one hundred sixty-one million, three hundred fifty-one thousand, six hundred".