1290200871960 has 1536 divisors, whose sum is σ = 6081143040000. Its totient is φ = 238896967680.

The previous prime is 1290200871941. The next prime is 1290200872013. The reversal of 1290200871960 is 691780020921.

1290200871960 is a `hidden beast` number, since 1 + 290 + 200 + 8 + 71 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 219456301 + ... + 219462179.

It is an arithmetic number, because the mean of its divisors is an integer number (3959077500).

Almost surely, 2^{1290200871960} is an apocalyptic number.

1290200871960 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 1290200871960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040571520000).

1290200871960 is an abundant number, since it is smaller than the sum of its proper divisors (4790942168040).

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

1290200871960 is a wasteful number, since it uses less digits than its factorization.

1290200871960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

It can be divided in two parts, 1290200 and 871960, that added together give a triangular number (2162160 = T₂₀₇₉).

The spelling of 1290200871960 in words is "one trillion, two hundred ninety billion, two hundred million, eight hundred seventy-one thousand, nine hundred sixty".