99375035760 has 2560 divisors, whose sum is σ = 503967744000. Its totient is φ = 17318707200.

The previous prime is 99375035731. The next prime is 99375035777. The reversal of 99375035760 is 6753057399.

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

It is a junction number, because it is equal to n+sod(n) for n = 99375035697 and 99375035706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1684322611 + ... + 1684322669.

It is an arithmetic number, because the mean of its divisors is an integer number (196862400).

Almost surely, 2^99375035760 is an apocalyptic number.

99375035760 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 99375035760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251983872000).

99375035760 is an abundant number, since it is smaller than the sum of its proper divisors (404592708240).

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

99375035760 is a wasteful number, since it uses less digits than its factorization.

99375035760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5358150, while the sum is 54.

The spelling of 99375035760 in words is "ninety-nine billion, three hundred seventy-five million, thirty-five thousand, seven hundred sixty".