99958748175000 has 1152 divisors, whose sum is σ = 399622364406720. Its totient is φ = 22251110400000.

The previous prime is 99958748174959. The next prime is 99958748175031. The reversal of 99958748175000 is 57184785999.

It is a happy number.

99958748175000 is a `hidden beast` number, since 9 + 9 + 95 + 8 + 7 + 481 + 7 + 50 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 99958748175000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6209766952 + ... + 6209783048.

Almost surely, 2^{99958748175000} is an apocalyptic number.

99958748175000 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 99958748175000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199811182203360).

99958748175000 is an abundant number, since it is smaller than the sum of its proper divisors (299663616231720).

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

99958748175000 is a wasteful number, since it uses less digits than its factorization.

99958748175000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16351 (or 16324 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 72.

The spelling of 99958748175000 in words is "ninety-nine trillion, nine hundred fifty-eight billion, seven hundred forty-eight million, one hundred seventy-five thousand".