1582668851140 has 96 divisors (see below), whose sum is σ = 3735355067136. Its totient is φ = 558892561920.

The previous prime is 1582668851119. The next prime is 1582668851167. The reversal of 1582668851140 is 411588662851.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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, 79709454 + ... + 79729306.

It is an arithmetic number, because the mean of its divisors is an integer number (38909948616).

Almost surely, 2^{1582668851140} is an apocalyptic number.

1582668851140 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 1582668851140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867677533568).

1582668851140 is an abundant number, since it is smaller than the sum of its proper divisors (2152686215996).

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

1582668851140 is a wasteful number, since it uses less digits than its factorization.

1582668851140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33229 (or 33227 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 55.

The spelling of 1582668851140 in words is "one trillion, five hundred eighty-two billion, six hundred sixty-eight million, eight hundred fifty-one thousand, one hundred forty".