99964935000 has 800 divisors, whose sum is σ = 411102030240. Its totient is φ = 22208256000.

The previous prime is 99964934959. The next prime is 99964935041. The reversal of 99964935000 is 53946999.

99964935000 is a `hidden beast` number, since 9 + 9 + 96 + 49 + 3 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99964934959) and next prime (99964935041).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 104894524 + ... + 104895476.

Almost surely, 2^99964935000 is an apocalyptic number.

99964935000 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 99964935000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205551015120).

99964935000 is an abundant number, since it is smaller than the sum of its proper divisors (311137095240).

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

99964935000 is a wasteful number, since it uses less digits than its factorization.

99964935000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 99964935000 in words is "ninety-nine billion, nine hundred sixty-four million, nine hundred thirty-five thousand".