11777935104 has 216 divisors, whose sum is σ = 38723800752. Its totient is φ = 3410657280.

The previous prime is 11777935079. The next prime is 11777935109. The reversal of 11777935104 is 40153977711.

It is a self number, because there is not a number n which added to its sum of digits gives 11777935104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11777935109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497619 + ... + 520749.

Almost surely, 2^11777935104 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 11777935104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19361900376).

11777935104 is an abundant number, since it is smaller than the sum of its proper divisors (26945865648).

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

11777935104 is a wasteful number, since it uses less digits than its factorization.

11777935104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23183 (or 23166 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 11777935104 in words is "eleven billion, seven hundred seventy-seven million, nine hundred thirty-five thousand, one hundred four".