1961509716000 has 192 divisors, whose sum is σ = 7139895759360. Its totient is φ = 523069228800.

The previous prime is 1961509715983. The next prime is 1961509716011. The reversal of 1961509716000 is 6179051691.

1961509716000 is a `hidden beast` number, since 19 + 6 + 1 + 509 + 71 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8973064 + ... + 9189063.

It is an arithmetic number, because the mean of its divisors is an integer number (37186957080).

Almost surely, 2^{1961509716000} is an apocalyptic number.

1961509716000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1961509716000 is an abundant number, since it is smaller than the sum of its proper divisors (5178386043360).

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

1961509716000 is a wasteful number, since it uses less digits than its factorization.

1961509716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18162161 (or 18162137 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 1961509716000 in words is "one trillion, nine hundred sixty-one billion, five hundred nine million, seven hundred sixteen thousand".