99752340240 has 320 divisors, whose sum is σ = 415775531520. Its totient is φ = 21459271680.

The previous prime is 99752340227. The next prime is 99752340251. The reversal of 99752340240 is 4204325799.

99752340240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63000 + ... + 451080.

It is an arithmetic number, because the mean of its divisors is an integer number (1299298536).

Almost surely, 2^99752340240 is an apocalyptic number.

99752340240 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 99752340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207887765760).

99752340240 is an abundant number, since it is smaller than the sum of its proper divisors (316023191280).

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

99752340240 is a wasteful number, since it uses less digits than its factorization.

99752340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388127 (or 388115 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 99752340240 in words is "ninety-nine billion, seven hundred fifty-two million, three hundred forty thousand, two hundred forty".