1987830031872 has 320 divisors, whose sum is σ = 5530210329600. Its totient is φ = 633734922240.

The previous prime is 1987830031871. The next prime is 1987830031877. The reversal of 1987830031872 is 2781300387891.

It is a super-2 number, since 2×1987830031872² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987830031871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3150284997 + ... + 3150285627.

It is an arithmetic number, because the mean of its divisors is an integer number (17281907280).

Almost surely, 2^{1987830031872} is an apocalyptic number.

1987830031872 is a gapful number since it is divisible by the number (12) 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 1987830031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765105164800).

1987830031872 is an abundant number, since it is smaller than the sum of its proper divisors (3542380297728).

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

1987830031872 is a wasteful number, since it uses less digits than its factorization.

1987830031872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 1987830031872 in words is "one trillion, nine hundred eighty-seven billion, eight hundred thirty million, thirty-one thousand, eight hundred seventy-two".