11852355870720 has 1792 divisors, whose sum is σ = 46474539471360. Its totient is φ = 2889476997120.

The previous prime is 11852355870709. The next prime is 11852355870731. The reversal of 11852355870720 is 2707855325811.

It is a happy number.

11852355870720 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 2 + 35 + 587 + 0 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (11852355870709) and next prime (11852355870731).

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 127 ways as a sum of consecutive naturals, for example, 65482629030 + ... + 65482629210.

It is an arithmetic number, because the mean of its divisors is an integer number (25934452830).

Almost surely, 2^{11852355870720} is an apocalyptic number.

11852355870720 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 11852355870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23237269735680).

11852355870720 is an abundant number, since it is smaller than the sum of its proper divisors (34622183600640).

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

11852355870720 is an frugal number, since it uses more digits than its factorization.

11852355870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 11852355870720 in words is "eleven trillion, eight hundred fifty-two billion, three hundred fifty-five million, eight hundred seventy thousand, seven hundred twenty".