77218020569088 has 624 divisors, whose sum is σ = 277731799272960. Its totient is φ = 20764449570816.

The previous prime is 77218020569069. The next prime is 77218020569141. The reversal of 77218020569088 is 88096502081277.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223555045 + ... + 223900187.

Almost surely, 2^{77218020569088} 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 77218020569088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138865899636480).

77218020569088 is an abundant number, since it is smaller than the sum of its proper divisors (200513778703872).

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

77218020569088 is a wasteful number, since it uses less digits than its factorization.

77218020569088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345217 (or 345172 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 77218020569088 in words is "seventy-seven trillion, two hundred eighteen billion, twenty million, five hundred sixty-nine thousand, eighty-eight".