99611258535936 has 1215 divisors, whose sum is σ = 346395497634459. Its totient is φ = 27502227357696.

The previous prime is 99611258535923. The next prime is 99611258535973. The reversal of 99611258535936 is 63953585211699.

It is a happy number.

The square root of 99611258535936 is 9980544.

It is a perfect power (a square), and thus also a powerful number.

99611258535936 is a `hidden beast` number, since 9 + 9 + 6 + 1 + 1 + 2 + 58 + 535 + 9 + 36 = 666.

It is a super-2 number, since 2×99611258535936² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (472392000) is a multiple of the sum of its prime factors (300).

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 80 ways as a sum of consecutive naturals, for example, 1260902006745 + ... + 1260902006823.

Almost surely, 2^{99611258535936} is an apocalyptic number.

99611258535936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

99611258535936 is the 9980544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99611258535936

99611258535936 is an abundant number, since it is smaller than the sum of its proper divisors (246784239098523).

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

99611258535936 is an frugal number, since it uses more digits than its factorization.

99611258535936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 138 counting only the distinct ones).

The product of its digits is 472392000, while the sum is 72.

The spelling of 99611258535936 in words is "ninety-nine trillion, six hundred eleven billion, two hundred fifty-eight million, five hundred thirty-five thousand, nine hundred thirty-six".