987953849745408 has 5760 divisors, whose sum is σ = 4087685871360000. Its totient is φ = 235973954764800.

The previous prime is 987953849745377. The next prime is 987953849745413. The reversal of 987953849745408 is 804547948359789.

987953849745408 is a `hidden beast` number, since 9 + 8 + 7 + 9 + 5 + 38 + 497 + 45 + 40 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9781721284558 + ... + 9781721284658.

It is an arithmetic number, because the mean of its divisors is an integer number (709667686000).

Almost surely, 2^{987953849745408} is an apocalyptic number.

987953849745408 is a gapful number since it is divisible by the number (98) 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 987953849745408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043842935680000).

987953849745408 is an abundant number, since it is smaller than the sum of its proper divisors (3099732021614592).

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

987953849745408 is a wasteful number, since it uses less digits than its factorization.

987953849745408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 87787929600, while the sum is 90.

The spelling of 987953849745408 in words is "nine hundred eighty-seven trillion, nine hundred fifty-three billion, eight hundred forty-nine million, seven hundred forty-five thousand, four hundred eight".