11877727680 has 448 divisors, whose sum is σ = 51575086080. Its totient is φ = 2505904128.

The previous prime is 11877727663. The next prime is 11877727681. The reversal of 11877727680 is 8672777811.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11877727681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 778687 + ... + 793793.

It is an arithmetic number, because the mean of its divisors is an integer number (115122960).

Almost surely, 2^11877727680 is an apocalyptic number.

11877727680 is a gapful number since it is divisible by the number (10) 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 11877727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25787543040).

11877727680 is an abundant number, since it is smaller than the sum of its proper divisors (39697358400).

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

11877727680 is a wasteful number, since it uses less digits than its factorization.

11877727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15153 (or 15137 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 54.

The spelling of 11877727680 in words is "eleven billion, eight hundred seventy-seven million, seven hundred twenty-seven thousand, six hundred eighty".