1987485413760 has 1408 divisors, whose sum is σ = 8898567932160. Its totient is φ = 412379320320.

The previous prime is 1987485413729. The next prime is 1987485413761. The reversal of 1987485413760 is 673145847891.

1987485413760 is a `hidden beast` number, since 1 + 9 + 8 + 74 + 85 + 413 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987485413761) by changing a digit.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 2909934379 + ... + 2909935061.

Almost surely, 2^{1987485413760} is an apocalyptic number.

1987485413760 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 1987485413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449283966080).

1987485413760 is an abundant number, since it is smaller than the sum of its proper divisors (6911082518400).

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

1987485413760 is an frugal number, since it uses more digits than its factorization.

1987485413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 1987485413760 in words is "one trillion, nine hundred eighty-seven billion, four hundred eighty-five million, four hundred thirteen thousand, seven hundred sixty".