11852554635540 has 192 divisors, whose sum is σ = 36926822661120. Its totient is φ = 3156209746560.

The previous prime is 11852554635491. The next prime is 11852554635601. The reversal of 11852554635540 is 4553645525811.

11852554635540 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 2 + 5 + 546 + 3 + 55 + 40 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1321203255 + ... + 1321212225.

It is an arithmetic number, because the mean of its divisors is an integer number (192327201360).

Almost surely, 2^{11852554635540} is an apocalyptic number.

11852554635540 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 11852554635540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18463411330560).

11852554635540 is an abundant number, since it is smaller than the sum of its proper divisors (25074268025580).

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

11852554635540 is a wasteful number, since it uses less digits than its factorization.

11852554635540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12179 (or 12171 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 54.

The spelling of 11852554635540 in words is "eleven trillion, eight hundred fifty-two billion, five hundred fifty-four million, six hundred thirty-five thousand, five hundred forty".