1986002016480 has 1152 divisors, whose sum is σ = 7802152243200. Its totient is φ = 470312054784.

The previous prime is 1986002016469. The next prime is 1986002016517. The reversal of 1986002016480 is 846102006891.

1986002016480 is a `hidden beast` number, since 1 + 9 + 8 + 600 + 20 + 16 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2301276529 + ... + 2301277391.

It is an arithmetic number, because the mean of its divisors is an integer number (6772701600).

Almost surely, 2^{1986002016480} is an apocalyptic number.

1986002016480 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 1986002016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901076121600).

1986002016480 is an abundant number, since it is smaller than the sum of its proper divisors (5816150226720).

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

1986002016480 is a wasteful number, since it uses less digits than its factorization.

1986002016480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1986002016480 in words is "one trillion, nine hundred eighty-six billion, two million, sixteen thousand, four hundred eighty".