99505821240 has 384 divisors, whose sum is σ = 384953886720. Its totient is φ = 21816345600.

The previous prime is 99505821229. The next prime is 99505821271. The reversal of 99505821240 is 4212850599.

It is a happy number.

99505821240 is a `hidden beast` number, since 9 + 9 + 50 + 582 + 12 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6612525 + ... + 6627555.

It is an arithmetic number, because the mean of its divisors is an integer number (1002484080).

Almost surely, 2^99505821240 is an apocalyptic number.

99505821240 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 99505821240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192476943360).

99505821240 is an abundant number, since it is smaller than the sum of its proper divisors (285448065480).

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

99505821240 is a wasteful number, since it uses less digits than its factorization.

99505821240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15163 (or 15156 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 99505821240 in words is "ninety-nine billion, five hundred five million, eight hundred twenty-one thousand, two hundred forty".