99046553760 has 1080 divisors, whose sum is σ = 447294313620. Its totient is φ = 20565135360.

The previous prime is 99046553741. The next prime is 99046553857. The reversal of 99046553760 is 6735564099.

99046553760 is a `hidden beast` number, since 9 + 9 + 0 + 46 + 5 + 537 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98116791696 + 929762064 = 313236^2 + 30492^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a junction number, because it is equal to n+sod(n) for n = 99046553697 and 99046553706.

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 179 ways as a sum of consecutive naturals, for example, 76839196 + ... + 76840484.

Almost surely, 2^99046553760 is an apocalyptic number.

99046553760 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 99046553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223647156810).

99046553760 is an abundant number, since it is smaller than the sum of its proper divisors (348247759860).

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

99046553760 is a wasteful number, since it uses less digits than its factorization.

99046553760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 99046553760 in words is "ninety-nine billion, forty-six million, five hundred fifty-three thousand, seven hundred sixty".