1950060845600 has 288 divisors, whose sum is σ = 5473224691200. Its totient is φ = 664602624000.

The previous prime is 1950060845597. The next prime is 1950060845641. The reversal of 1950060845600 is 65480600591.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082764700 + ... + 1082766500.

It is an arithmetic number, because the mean of its divisors is an integer number (19004252400).

Almost surely, 2^{1950060845600} is an apocalyptic number.

1950060845600 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 1950060845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736612345600).

1950060845600 is an abundant number, since it is smaller than the sum of its proper divisors (3523163845600).

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

1950060845600 is a wasteful number, since it uses less digits than its factorization.

1950060845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 1950060845600 in words is "one trillion, nine hundred fifty billion, sixty million, eight hundred forty-five thousand, six hundred".