77521051008000 has 1056 divisors, whose sum is σ = 302082165635328. Its totient is φ = 19042074624000.

The previous prime is 77521051007993. The next prime is 77521051008001. The reversal of 77521051008000 is 80015012577.

77521051008000 is a `hidden beast` number, since 7 + 7 + 52 + 10 + 510 + 0 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77521051008001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 920405890 + ... + 920490110.

Almost surely, 2^{77521051008000} 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 77521051008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151041082817664).

77521051008000 is an abundant number, since it is smaller than the sum of its proper divisors (224561114627328).

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

77521051008000 is a wasteful number, since it uses less digits than its factorization.

77521051008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84326 (or 84295 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 77521051008000 in words is "seventy-seven trillion, five hundred twenty-one billion, fifty-one million, eight thousand".