1987651408896 has 264 divisors, whose sum is σ = 6033676936320. Its totient is φ = 646375587840.

The previous prime is 1987651408891. The next prime is 1987651408903. The reversal of 1987651408896 is 6988041567891.

1987651408896 is a `hidden beast` number, since 1 + 9 + 87 + 6 + 51 + 408 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987651408891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46454905 + ... + 46497671.

It is an arithmetic number, because the mean of its divisors is an integer number (22854836880).

Almost surely, 2^{1987651408896} is an apocalyptic number.

1987651408896 is a gapful number since it is divisible by the number (16) 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 1987651408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016838468160).

1987651408896 is an abundant number, since it is smaller than the sum of its proper divisors (4046025527424).

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

1987651408896 is an equidigital number, since it uses as much as digits as its factorization.

1987651408896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42878 (or 42813 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 1987651408896 in words is "one trillion, nine hundred eighty-seven billion, six hundred fifty-one million, four hundred eight thousand, eight hundred ninety-six".