1290210851160 has 1024 divisors, whose sum is σ = 5486048870400. Its totient is φ = 261949593600.

The previous prime is 1290210851143. The next prime is 1290210851183. The reversal of 1290210851160 is 611580120921.

1290210851160 is a `hidden beast` number, since 129 + 0 + 2 + 10 + 8 + 511 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 847150159 + ... + 847151681.

It is an arithmetic number, because the mean of its divisors is an integer number (5357469600).

Almost surely, 2^{1290210851160} is an apocalyptic number.

1290210851160 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 1290210851160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743024435200).

1290210851160 is an abundant number, since it is smaller than the sum of its proper divisors (4195838019240).

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

1290210851160 is a wasteful number, since it uses less digits than its factorization.

1290210851160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 1290210851160 in words is "one trillion, two hundred ninety billion, two hundred ten million, eight hundred fifty-one thousand, one hundred sixty".