77132805120000 has 3360 divisors, whose sum is σ = 339572328321600. Its totient is φ = 17241735168000.

The previous prime is 77132805119969. The next prime is 77132805120029. The reversal of 77132805120000 is 2150823177.

77132805120000 is a `hidden beast` number, since 7 + 7 + 132 + 8 + 0 + 512 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 399651839904 + ... + 399651840096.

Almost surely, 2^{77132805120000} is an apocalyptic number.

77132805120000 is a gapful number since it is divisible by the number (70) 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 77132805120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169786164160800).

77132805120000 is an abundant number, since it is smaller than the sum of its proper divisors (262439523201600).

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

77132805120000 is an equidigital number, since it uses as much as digits as its factorization.

77132805120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 77132805120000 its reverse (2150823177), we get a palindrome (77134955943177).

The spelling of 77132805120000 in words is "seventy-seven trillion, one hundred thirty-two billion, eight hundred five million, one hundred twenty thousand".