99601845120 has 384 divisors, whose sum is σ = 354775861440. Its totient is φ = 25729892352.

The previous prime is 99601845103. The next prime is 99601845127. The reversal of 99601845120 is 2154810699.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99601845127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56049672 + ... + 56051448.

Almost surely, 2^99601845120 is an apocalyptic number.

99601845120 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 99601845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177387930720).

99601845120 is an abundant number, since it is smaller than the sum of its proper divisors (255174016320).

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

99601845120 is a wasteful number, since it uses less digits than its factorization.

99601845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 99601845120 in words is "ninety-nine billion, six hundred one million, eight hundred forty-five thousand, one hundred twenty".