99511143840 has 288 divisors, whose sum is σ = 352626281280. Its totient is φ = 26501105664.

The previous prime is 99511143839. The next prime is 99511143859. The reversal of 99511143840 is 4834111599.

99511143840 is a `hidden beast` number, since 99 + 511 + 1 + 4 + 3 + 8 + 40 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 43894387 + ... + 43896653.

It is an arithmetic number, because the mean of its divisors is an integer number (1224396810).

Almost surely, 2^99511143840 is an apocalyptic number.

99511143840 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 99511143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176313140640).

99511143840 is an abundant number, since it is smaller than the sum of its proper divisors (253115137440).

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

99511143840 is a wasteful number, since it uses less digits than its factorization.

99511143840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 3406 counting only the distinct ones).

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

The spelling of 99511143840 in words is "ninety-nine billion, five hundred eleven million, one hundred forty-three thousand, eight hundred forty".