1903160961600 has 672 divisors, whose sum is σ = 6975141955200. Its totient is φ = 451480780800.

The previous prime is 1903160961593. The next prime is 1903160961607. The reversal of 1903160961600 is 61690613091.

It is a Cunningham number, because it is equal to 1379551²-1.

It is an interprime number because it is at equal distance from previous prime (1903160961593) and next prime (1903160961607).

It is not an unprimeable number, because it can be changed into a prime (1903160961607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 838765266 + ... + 838767534.

Almost surely, 2^{1903160961600} is an apocalyptic number.

1903160961600 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 1903160961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487570977600).

1903160961600 is an abundant number, since it is smaller than the sum of its proper divisors (5071980993600).

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

1903160961600 is a wasteful number, since it uses less digits than its factorization.

1903160961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The spelling of 1903160961600 in words is "one trillion, nine hundred three billion, one hundred sixty million, nine hundred sixty-one thousand, six hundred".