99627855151104 has 960 divisors, whose sum is σ = 366620291252820. Its totient is φ = 26790089195520.

The previous prime is 99627855151067. The next prime is 99627855151109. The reversal of 99627855151104 is 40115155872699.

It is a happy number.

99627855151104 is a `hidden beast` number, since 9 + 9 + 6 + 2 + 7 + 8 + 5 + 515 + 1 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84955890991104 + 14671964160000 = 9217152^2 + 3830400^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (99627855151109) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2210932734 + ... + 2210977794.

Almost surely, 2^{99627855151104} 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 99627855151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183310145626410).

99627855151104 is an abundant number, since it is smaller than the sum of its proper divisors (266992436101716).

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

99627855151104 is an equidigital number, since it uses as much as digits as its factorization.

99627855151104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45134 (or 45090 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 63.

The spelling of 99627855151104 in words is "ninety-nine trillion, six hundred twenty-seven billion, eight hundred fifty-five million, one hundred fifty-one thousand, one hundred four".