77572475520000 has 880 divisors, whose sum is σ = 267170797977600. Its totient is φ = 19983421440000.

The previous prime is 77572475519999. The next prime is 77572475520041. The reversal of 77572475520000 is 2557427577.

77572475520000 is digitally balanced in base 3 and base 6, because in such bases it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 60650879361 + ... + 60650880639.

It is an arithmetic number, because the mean of its divisors is an integer number (303603179520).

Almost surely, 2^{77572475520000} 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 77572475520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585398988800).

77572475520000 is an abundant number, since it is smaller than the sum of its proper divisors (189598322457600).

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

77572475520000 is a wasteful number, since it uses less digits than its factorization.

77572475520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 4802000, while the sum is 51.

The spelling of 77572475520000 in words is "seventy-seven trillion, five hundred seventy-two billion, four hundred seventy-five million, five hundred twenty thousand".