99136880640 has 960 divisors, whose sum is σ = 425289446400. Its totient is φ = 21403533312.

The previous prime is 99136880629. The next prime is 99136880641. The reversal of 99136880640 is 4608863199.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×99136880640² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (99136880641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294174552 + ... + 294174888.

It is an arithmetic number, because the mean of its divisors is an integer number (443009840).

Almost surely, 2^99136880640 is an apocalyptic number.

99136880640 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 99136880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212644723200).

99136880640 is an abundant number, since it is smaller than the sum of its proper divisors (326152565760).

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

99136880640 is a wasteful number, since it uses less digits than its factorization.

99136880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 99136880640 in words is "ninety-nine billion, one hundred thirty-six million, eight hundred eighty thousand, six hundred forty".