1486008587120 has 80 divisors (see below), whose sum is σ = 3499484113920. Its totient is φ = 586748448000.

The previous prime is 1486008587117. The next prime is 1486008587183. The reversal of 1486008587120 is 217858006841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31266575 + ... + 31314065.

It is an arithmetic number, because the mean of its divisors is an integer number (43743551424).

Almost surely, 2^{1486008587120} is an apocalyptic number.

1486008587120 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 1486008587120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749742056960).

1486008587120 is an abundant number, since it is smaller than the sum of its proper divisors (2013475526800).

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

1486008587120 is a wasteful number, since it uses less digits than its factorization.

1486008587120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52534 (or 52528 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 50.

The spelling of 1486008587120 in words is "one trillion, four hundred eighty-six billion, eight million, five hundred eighty-seven thousand, one hundred twenty".