11761836387840 has 3840 divisors, whose sum is σ = 55455854598144. Its totient is φ = 2318716108800.

The previous prime is 11761836387839. The next prime is 11761836387859. The reversal of 11761836387840 is 4878363816711.

11761836387840 is a `hidden beast` number, since 1 + 1 + 7 + 618 + 3 + 6 + 3 + 8 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 104087047624 + ... + 104087047736.

Almost surely, 2^{11761836387840} is an apocalyptic number.

11761836387840 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 11761836387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27727927299072).

11761836387840 is an abundant number, since it is smaller than the sum of its proper divisors (43694018210304).

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

11761836387840 is a wasteful number, since it uses less digits than its factorization.

11761836387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 11761836387840 in words is "eleven trillion, seven hundred sixty-one billion, eight hundred thirty-six million, three hundred eighty-seven thousand, eight hundred forty".