1009893951360 has 960 divisors, whose sum is σ = 4210411590000. Its totient is φ = 230004375552.

The previous prime is 1009893951359. The next prime is 1009893951383. The reversal of 1009893951360 is 631593989001.

1009893951360 is a `hidden beast` number, since 1 + 0 + 0 + 98 + 9 + 39 + 513 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 1009893951297 and 1009893951306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 962720116 + ... + 962721164.

Almost surely, 2^{1009893951360} is an apocalyptic number.

1009893951360 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 1009893951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105205795000).

1009893951360 is an abundant number, since it is smaller than the sum of its proper divisors (3200517638640).

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

1009893951360 is a wasteful number, since it uses less digits than its factorization.

1009893951360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 1009893951360 in words is "one trillion, nine billion, eight hundred ninety-three million, nine hundred fifty-one thousand, three hundred sixty".