77851031040000 has 2600 divisors, whose sum is σ = 304731031792880. Its totient is φ = 19779158016000.

The previous prime is 77851031039939. The next prime is 77851031040017. The reversal of 77851031040000 is 4013015877.

77851031040000 is a `hidden beast` number, since 7 + 78 + 510 + 31 + 0 + 40 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 560079359931 + ... + 560079360069.

Almost surely, 2^{77851031040000} 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 77851031040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152365515896440).

77851031040000 is an abundant number, since it is smaller than the sum of its proper divisors (226880000752880).

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

77851031040000 is an equidigital number, since it uses as much as digits as its factorization.

77851031040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 259 counting only the distinct ones).

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

Adding to 77851031040000 its reverse (4013015877), we get a palindrome (77855044055877).

The spelling of 77851031040000 in words is "seventy-seven trillion, eight hundred fifty-one billion, thirty-one million, forty thousand".