11861871638400 has 3072 divisors, whose sum is σ = 56682872064000. Its totient is φ = 2356936704000.

The previous prime is 11861871638387. The next prime is 11861871638437. The reversal of 11861871638400 is 483617816811.

11861871638400 is a `hidden beast` number, since 1 + 1 + 8 + 618 + 7 + 16 + 3 + 8 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×11861871638400³ (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 383 ways as a sum of consecutive naturals, for example, 8009365660 + ... + 8009367140.

It is an arithmetic number, because the mean of its divisors is an integer number (18451455750).

Almost surely, 2^{11861871638400} is an apocalyptic number.

11861871638400 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 11861871638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28341436032000).

11861871638400 is an abundant number, since it is smaller than the sum of its proper divisors (44821000425600).

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

11861871638400 is a wasteful number, since it uses less digits than its factorization.

11861871638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11861871638400 in words is "eleven trillion, eight hundred sixty-one billion, eight hundred seventy-one million, six hundred thirty-eight thousand, four hundred".