1331009854560 has 384 divisors, whose sum is σ = 5061914726400. Its totient is φ = 325407559680.

The previous prime is 1331009854543. The next prime is 1331009854561. The reversal of 1331009854560 is 654589001331.

1331009854560 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 0 + 9 + 85 + 4 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331009854561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2282932 + ... + 2806028.

It is an arithmetic number, because the mean of its divisors is an integer number (13182069600).

Almost surely, 2^{1331009854560} is an apocalyptic number.

1331009854560 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 1331009854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530957363200).

1331009854560 is an abundant number, since it is smaller than the sum of its proper divisors (3730904871840).

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

1331009854560 is a wasteful number, since it uses less digits than its factorization.

1331009854560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523171 (or 523157 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1331009854560 in words is "one trillion, three hundred thirty-one billion, nine million, eight hundred fifty-four thousand, five hundred sixty".