99919050192000 has 384 divisors, whose sum is σ = 386436933857520. Its totient is φ = 24595458048000.

The previous prime is 99919050191993. The next prime is 99919050192007. The reversal of 99919050192000 is 29105091999.

It is an interprime number because it is at equal distance from previous prime (99919050191993) and next prime (99919050192007).

It can be written as a sum of positive squares in 8 ways, for example, as 12261370637376 + 87657679554624 = 3501624^2 + 9362568^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (99919050192007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24815781 + ... + 28559780.

Almost surely, 2^{99919050192000} is an apocalyptic number.

99919050192000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99919050192000 is an abundant number, since it is smaller than the sum of its proper divisors (286517883665520).

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

99919050192000 is a wasteful number, since it uses less digits than its factorization.

99919050192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53375609 (or 53375584 counting only the distinct ones).

The product of its (nonzero) digits is 590490, while the sum is 54.

The spelling of 99919050192000 in words is "ninety-nine trillion, nine hundred nineteen billion, fifty million, one hundred ninety-two thousand".