987413353920 has 896 divisors, whose sum is σ = 4107268270080. Its totient is φ = 221377867776.

The previous prime is 987413353907. The next prime is 987413353933. The reversal of 987413353920 is 29353314789.

987413353920 is a `hidden beast` number, since 9 + 8 + 74 + 1 + 33 + 539 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (987413353907) and next prime (987413353933).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 259638739 + ... + 259642541.

Almost surely, 2^987413353920 is an apocalyptic number.

987413353920 is a gapful number since it is divisible by the number (90) 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 987413353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053634135040).

987413353920 is an abundant number, since it is smaller than the sum of its proper divisors (3119854916160).

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

987413353920 is an equidigital number, since it uses as much as digits as its factorization.

987413353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 987413353920 in words is "nine hundred eighty-seven billion, four hundred thirteen million, three hundred fifty-three thousand, nine hundred twenty".