99810612505440 has 144 divisors (see below), whose sum is σ = 360639227920608. Its totient is φ = 25050506661888.

The previous prime is 99810612505393. The next prime is 99810612505459. The reversal of 99810612505440 is 4450521601899.

99810612505440 is a `hidden beast` number, since 9 + 9 + 8 + 10 + 61 + 25 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×99810612505440² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2038590972 + ... + 2038639931.

It is an arithmetic number, because the mean of its divisors is an integer number (2504439082782).

Almost surely, 2^{99810612505440} is an apocalyptic number.

99810612505440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99810612505440 is an abundant number, since it is smaller than the sum of its proper divisors (260828615415168).

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

99810612505440 is a wasteful number, since it uses less digits than its factorization.

99810612505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077230941 (or 4077230930 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 99810612505440 in words is "ninety-nine trillion, eight hundred ten billion, six hundred twelve million, five hundred five thousand, four hundred forty".