1286645657220 has 1536 divisors, whose sum is σ = 5538164244480. Its totient is φ = 239791104000.

The previous prime is 1286645657207. The next prime is 1286645657257. The reversal of 1286645657220 is 227565466821.

1286645657220 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 6 + 4 + 565 + 72 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1555798447 + ... + 1555799273.

It is an arithmetic number, because the mean of its divisors is an integer number (3605575680).

Almost surely, 2^{1286645657220} is an apocalyptic number.

1286645657220 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 1286645657220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769082122240).

1286645657220 is an abundant number, since it is smaller than the sum of its proper divisors (4251518587260).

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

1286645657220 is a wasteful number, since it uses less digits than its factorization.

1286645657220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1286645657220 in words is "one trillion, two hundred eighty-six billion, six hundred forty-five million, six hundred fifty-seven thousand, two hundred twenty".