11859771703680 has 1024 divisors, whose sum is σ = 45934076160000. Its totient is φ = 2881673625600.

The previous prime is 11859771703673. The next prime is 11859771703691. The reversal of 11859771703680 is 8630717795811.

11859771703680 is a `hidden beast` number, since 1 + 1 + 8 + 597 + 7 + 1 + 7 + 0 + 36 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 955733316 + ... + 955745724.

It is an arithmetic number, because the mean of its divisors is an integer number (44857496250).

Almost surely, 2^{11859771703680} is an apocalyptic number.

11859771703680 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 11859771703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22967038080000).

11859771703680 is an abundant number, since it is smaller than the sum of its proper divisors (34074304456320).

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

11859771703680 is a wasteful number, since it uses less digits than its factorization.

11859771703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12568 (or 12550 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 11859771703680 in words is "eleven trillion, eight hundred fifty-nine billion, seven hundred seventy-one million, seven hundred three thousand, six hundred eighty".