99761780044800 has 528 divisors, whose sum is σ = 382281659729280. Its totient is φ = 25446478970880.

The previous prime is 99761780044789. The next prime is 99761780044831. The reversal of 99761780044800 is 844008716799.

99761780044800 is a `hidden beast` number, since 9 + 9 + 7 + 617 + 8 + 0 + 0 + 4 + 4 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12759964 + ... + 19035236.

Almost surely, 2^{99761780044800} is an apocalyptic number.

99761780044800 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 99761780044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191140829864640).

99761780044800 is an abundant number, since it is smaller than the sum of its proper divisors (282519879684480).

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

99761780044800 is a wasteful number, since it uses less digits than its factorization.

99761780044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6275335 (or 6275306 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 99761780044800 in words is "ninety-nine trillion, seven hundred sixty-one billion, seven hundred eighty million, forty-four thousand, eight hundred".