99852005376000 has 1536 divisors, whose sum is σ = 389284002619200. Its totient is φ = 24537622118400.

The previous prime is 99852005375989. The next prime is 99852005376023. The reversal of 99852005376000 is 67350025899.

99852005376000 is a `hidden beast` number, since 9 + 9 + 8 + 5 + 20 + 0 + 5 + 3 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25915390074 + ... + 25915393926.

Almost surely, 2^{99852005376000} is an apocalyptic number.

99852005376000 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 99852005376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194642001309600).

99852005376000 is an abundant number, since it is smaller than the sum of its proper divisors (289431997243200).

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

99852005376000 is a wasteful number, since it uses less digits than its factorization.

99852005376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 99852005376000 in words is "ninety-nine trillion, eight hundred fifty-two billion, five million, three hundred seventy-six thousand".