99178764949440 has 896 divisors, whose sum is σ = 382843625472000. Its totient is φ = 23970683289600.

The previous prime is 99178764949427. The next prime is 99178764949469. The reversal of 99178764949440 is 4494946787199.

99178764949440 is a `hidden beast` number, since 9 + 9 + 1 + 7 + 87 + 6 + 4 + 9 + 494 + 40 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 99178764949440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77543990721 + ... + 77543991999.

It is an arithmetic number, because the mean of its divisors is an integer number (427280832000).

Almost surely, 2^{99178764949440} is an apocalyptic number.

99178764949440 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 99178764949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191421812736000).

99178764949440 is an abundant number, since it is smaller than the sum of its proper divisors (283664860522560).

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

99178764949440 is a wasteful number, since it uses less digits than its factorization.

99178764949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 81.

The spelling of 99178764949440 in words is "ninety-nine trillion, one hundred seventy-eight billion, seven hundred sixty-four million, nine hundred forty-nine thousand, four hundred forty".