1062709873920 has 288 divisors, whose sum is σ = 3772872432000. Its totient is φ = 283259437056.

The previous prime is 1062709873889. The next prime is 1062709873931. The reversal of 1062709873920 is 293789072601.

1062709873920 is a `hidden beast` number, since 1 + 0 + 627 + 0 + 9 + 8 + 7 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1062709873920² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93271744 + ... + 93283136.

It is an arithmetic number, because the mean of its divisors is an integer number (13100251500).

Almost surely, 2^{1062709873920} is an apocalyptic number.

1062709873920 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 1062709873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886436216000).

1062709873920 is an abundant number, since it is smaller than the sum of its proper divisors (2710162558080).

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

1062709873920 is a wasteful number, since it uses less digits than its factorization.

1062709873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14122 (or 14102 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1062709873920 in words is "one trillion, sixty-two billion, seven hundred nine million, eight hundred seventy-three thousand, nine hundred twenty".