99971136059920 has 160 divisors (see below), whose sum is σ = 245764498636800. Its totient is φ = 37741707075072.

The previous prime is 99971136059891. The next prime is 99971136059941. The reversal of 99971136059920 is 2995063117999.

99971136059920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×99971136059920² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99971136059920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229887651 + ... + 230322109.

It is an arithmetic number, because the mean of its divisors is an integer number (1536028116480).

Almost surely, 2^{99971136059920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99971136059920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122882249318400).

99971136059920 is an abundant number, since it is smaller than the sum of its proper divisors (145793362576880).

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

99971136059920 is a wasteful number, since it uses less digits than its factorization.

99971136059920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436157 (or 436151 counting only the distinct ones).

The product of its (nonzero) digits is 74401740, while the sum is 70.

The spelling of 99971136059920 in words is "ninety-nine trillion, nine hundred seventy-one billion, one hundred thirty-six million, fifty-nine thousand, nine hundred twenty".