77561048122272 has 1536 divisors, whose sum is σ = 293386447872000. Its totient is φ = 19571691847680.

The previous prime is 77561048122247. The next prime is 77561048122279. The reversal of 77561048122272 is 27222184016577.

77561048122272 is a `hidden beast` number, since 7 + 7 + 5 + 610 + 4 + 8 + 12 + 2 + 2 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (77561048122279) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4969624293 + ... + 4969639899.

It is an arithmetic number, because the mean of its divisors is an integer number (191006802000).

Almost surely, 2^{77561048122272} is an apocalyptic number.

77561048122272 is a gapful number since it is divisible by the number (72) 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 77561048122272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146693223936000).

77561048122272 is an abundant number, since it is smaller than the sum of its proper divisors (215825399749728).

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

77561048122272 is a wasteful number, since it uses less digits than its factorization.

77561048122272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15771 (or 15757 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 77561048122272 in words is "seventy-seven trillion, five hundred sixty-one billion, forty-eight million, one hundred twenty-two thousand, two hundred seventy-two".