1285308984960 has 5120 divisors, whose sum is σ = 6879229378560. Its totient is φ = 219768422400.

The previous prime is 1285308984937. The next prime is 1285308984979. The reversal of 1285308984960 is 694898035821.

1285308984960 is a `hidden beast` number, since 1 + 2 + 8 + 53 + 0 + 8 + 98 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 27346999657 + ... + 27346999703.

It is an arithmetic number, because the mean of its divisors is an integer number (1343599488).

Almost surely, 2^{1285308984960} is an apocalyptic number.

1285308984960 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 1285308984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439614689280).

1285308984960 is an abundant number, since it is smaller than the sum of its proper divisors (5593920393600).

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

1285308984960 is a wasteful number, since it uses less digits than its factorization.

1285308984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 1285308984960 in words is "one trillion, two hundred eighty-five billion, three hundred eight million, nine hundred eighty-four thousand, nine hundred sixty".