987294265200 has 180 divisors, whose sum is σ = 3426809611368. Its totient is φ = 263230502400.

The previous prime is 987294265189. The next prime is 987294265211. The reversal of 987294265200 is 2562492789.

987294265200 is a `hidden beast` number, since 9 + 8 + 7 + 2 + 9 + 426 + 5 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (987294265189) and next prime (987294265211).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22575355 + ... + 22619045.

Almost surely, 2^987294265200 is an apocalyptic number.

987294265200 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 987294265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713404805684).

987294265200 is an abundant number, since it is smaller than the sum of its proper divisors (2439515346168).

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

987294265200 is a wasteful number, since it uses less digits than its factorization.

987294265200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49992 (or 49978 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 987294265200 in words is "nine hundred eighty-seven billion, two hundred ninety-four million, two hundred sixty-five thousand, two hundred".