99950409046080 has 336 divisors, whose sum is σ = 364052039148720. Its totient is φ = 25082735099904.

The previous prime is 99950409046073. The next prime is 99950409046091. The reversal of 99950409046080 is 8064090405999.

99950409046080 is a `hidden beast` number, since 9 + 9 + 9 + 5 + 0 + 4 + 0 + 90 + 460 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18228664406016 + 81721744640064 = 4269504^2 + 9040008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 99950409045999 and 99950409046017.

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, 447235806 + ... + 447459234.

Almost surely, 2^{99950409046080} is an apocalyptic number.

99950409046080 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 99950409046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182026019574360).

99950409046080 is an abundant number, since it is smaller than the sum of its proper divisors (264101630102640).

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

99950409046080 is a wasteful number, since it uses less digits than its factorization.

99950409046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232606 (or 232593 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 99950409046080 in words is "ninety-nine trillion, nine hundred fifty billion, four hundred nine million, forty-six thousand, eighty".