77801248311552 has 108 divisors (see below), whose sum is σ = 225118473376524. Its totient is φ = 25841458298880.

The previous prime is 77801248311511. The next prime is 77801248311557. The reversal of 77801248311552 is 25511384210877.

77801248311552 is a `hidden beast` number, since 7 + 7 + 8 + 0 + 1 + 2 + 4 + 83 + 1 + 1 + 552 = 666.

77801248311552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22584697456896 + 55216550854656 = 4752336^2 + 7430784^2 .

It is not an unprimeable number, because it can be changed into a prime (77801248311557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59437813 + ... + 60732660.

Almost surely, 2^{77801248311552} is an apocalyptic number.

77801248311552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77801248311552 is an abundant number, since it is smaller than the sum of its proper divisors (147317225064972).

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

77801248311552 is a wasteful number, since it uses less digits than its factorization.

77801248311552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120170776 (or 120170759 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 77801248311552 in words is "seventy-seven trillion, eight hundred one billion, two hundred forty-eight million, three hundred eleven thousand, five hundred fifty-two".