77558046720000 has 2040 divisors, whose sum is σ = 328247442844992. Its totient is φ = 16102195200000.

The previous prime is 77558046719987. The next prime is 77558046720061. The reversal of 77558046720000 is 2764085577.

It is a super-2 number, since 2×77558046720000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66232319415 + ... + 66232320585.

Almost surely, 2^{77558046720000} is an apocalyptic number.

77558046720000 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 77558046720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164123721422496).

77558046720000 is an abundant number, since it is smaller than the sum of its proper divisors (250689396124992).

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

77558046720000 is an equidigital number, since it uses as much as digits as its factorization.

77558046720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The spelling of 77558046720000 in words is "seventy-seven trillion, five hundred fifty-eight billion, forty-six million, seven hundred twenty thousand".