99750097440 has 288 divisors, whose sum is σ = 393039803520. Its totient is φ = 22564749312.

The previous prime is 99750097339. The next prime is 99750097459. The reversal of 99750097440 is 4479005799.

99750097440 is a `hidden beast` number, since 9 + 9 + 7 + 500 + 97 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×99750097440³ (a number of 34 digits) contains 333 as substring.

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, 926751 + ... + 1028769.

It is an arithmetic number, because the mean of its divisors is an integer number (1364721540).

Almost surely, 2^99750097440 is an apocalyptic number.

99750097440 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 99750097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196519901760).

99750097440 is an abundant number, since it is smaller than the sum of its proper divisors (293289706080).

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

99750097440 is a wasteful number, since it uses less digits than its factorization.

99750097440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102144 (or 102133 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 99750097440 in words is "ninety-nine billion, seven hundred fifty million, ninety-seven thousand, four hundred forty".