8779601048400 has 900 divisors, whose sum is σ = 39473261291772. Its totient is φ = 1852394987520.

The previous prime is 8779601048359. The next prime is 8779601048423. The reversal of 8779601048400 is 48401069778.

It is a happy number.

8779601048400 is a `hidden beast` number, since 8 + 7 + 79 + 60 + 104 + 8 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7602444864 + 8771998603536 = 87192^2 + 2961756^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 20426104 + ... + 20851496.

Almost surely, 2^{8779601048400} is an apocalyptic number.

8779601048400 is a gapful number since it is divisible by the number (80) 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 8779601048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19736630645886).

8779601048400 is an abundant number, since it is smaller than the sum of its proper divisors (30693660243372).

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

8779601048400 is a wasteful number, since it uses less digits than its factorization.

8779601048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425450 (or 425423 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 8779601048400 in words is "eight trillion, seven hundred seventy-nine billion, six hundred one million, forty-eight thousand, four hundred".