77557651148016 has 240 divisors, whose sum is σ = 233983921778880. Its totient is φ = 23840039854080.

The previous prime is 77557651147969. The next prime is 77557651148017. The reversal of 77557651148016 is 61084115675577.

77557651148016 is a `hidden beast` number, since 7 + 7 + 5 + 5 + 76 + 511 + 48 + 0 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77557651148017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10761429885 + ... + 10761437091.

It is an arithmetic number, because the mean of its divisors is an integer number (974933007412).

Almost surely, 2^{77557651148016} 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 77557651148016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116991960889440).

77557651148016 is an abundant number, since it is smaller than the sum of its proper divisors (156426270630864).

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

77557651148016 is a wasteful number, since it uses less digits than its factorization.

77557651148016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12184 (or 12175 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 63.

The spelling of 77557651148016 in words is "seventy-seven trillion, five hundred fifty-seven billion, six hundred fifty-one million, one hundred forty-eight thousand, sixteen".