99275742720 has 1280 divisors, whose sum is σ = 459330600960. Its totient is φ = 19707494400.

The previous prime is 99275742679. The next prime is 99275742733. The reversal of 99275742720 is 2724757299.

It is a happy number.

99275742720 is a `hidden beast` number, since 9 + 9 + 27 + 574 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 122411115 + ... + 122411925.

It is an arithmetic number, because the mean of its divisors is an integer number (358852032).

Almost surely, 2^99275742720 is an apocalyptic number.

99275742720 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 99275742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229665300480).

99275742720 is an abundant number, since it is smaller than the sum of its proper divisors (360054858240).

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

99275742720 is a wasteful number, since it uses less digits than its factorization.

99275742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 99275742720 in words is "ninety-nine billion, two hundred seventy-five million, seven hundred forty-two thousand, seven hundred twenty".