77061101106000 has 320 divisors, whose sum is σ = 274743667351296. Its totient is φ = 18425567232000.

The previous prime is 77061101105897. The next prime is 77061101106013. The reversal of 77061101106000 is 60110116077.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3179209 + ... + 12815208.

Almost surely, 2^{77061101106000} 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 77061101106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137371833675648).

77061101106000 is an abundant number, since it is smaller than the sum of its proper divisors (197682566245296).

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

77061101106000 is a wasteful number, since it uses less digits than its factorization.

77061101106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15994527 (or 15994511 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The spelling of 77061101106000 in words is "seventy-seven trillion, sixty-one billion, one hundred one million, one hundred six thousand".