11877114602880 has 640 divisors, whose sum is σ = 42782136012000. Its totient is φ = 3139941335040.

The previous prime is 11877114602879. The next prime is 11877114602897. The reversal of 11877114602880 is 8820641177811.

11877114602880 is a `hidden beast` number, since 1 + 1 + 8 + 77 + 11 + 460 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3895411596 + ... + 3895414644.

Almost surely, 2^{11877114602880} is an apocalyptic number.

11877114602880 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 11877114602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21391068006000).

11877114602880 is an abundant number, since it is smaller than the sum of its proper divisors (30905021409120).

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

11877114602880 is a wasteful number, since it uses less digits than its factorization.

11877114602880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 54.

The spelling of 11877114602880 in words is "eleven trillion, eight hundred seventy-seven billion, one hundred fourteen million, six hundred two thousand, eight hundred eighty".