11876561857440 has 288 divisors, whose sum is σ = 46374496721280. Its totient is φ = 2711366203392.

The previous prime is 11876561857421. The next prime is 11876561857451. The reversal of 11876561857440 is 4475816567811.

It is a happy number.

11876561857440 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 6 + 5 + 6 + 18 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7645687 + ... + 9066953.

It is an arithmetic number, because the mean of its divisors is an integer number (161022558060).

Almost surely, 2^{11876561857440} is an apocalyptic number.

11876561857440 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 11876561857440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23187248360640).

11876561857440 is an abundant number, since it is smaller than the sum of its proper divisors (34497934863840).

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

11876561857440 is a wasteful number, since it uses less digits than its factorization.

11876561857440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422124 (or 1422113 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 11876561857440 in words is "eleven trillion, eight hundred seventy-six billion, five hundred sixty-one million, eight hundred fifty-seven thousand, four hundred forty".