1987920000 has 480 divisors, whose sum is σ = 7829181360. Its totient is φ = 480000000.

The previous prime is 1987919987. The next prime is 1987920017. The reversal of 1987920000 is 297891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7919875 + ... + 7920125.

Almost surely, 2^1987920000 is an apocalyptic number.

1987920000 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 1987920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914590680).

1987920000 is an abundant number, since it is smaller than the sum of its proper divisors (5841261360).

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

1987920000 is a wasteful number, since it uses less digits than its factorization.

1987920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1987920000 is about 44586.0964875823. The cubic root of 1987920000 is about 1257.3792845373.

It can be divided in two parts, 198 and 7920000, that multiplied together give a square (1568160000 = 39600²).

The spelling of 1987920000 in words is "one billion, nine hundred eighty-seven million, nine hundred twenty thousand".