11920754585376 has 1728 divisors, whose sum is σ = 47046425287680. Its totient is φ = 2936506245120.

The previous prime is 11920754585353. The next prime is 11920754585381. The reversal of 11920754585376 is 67358545702911.

11920754585376 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 0 + 7 + 545 + 85 + 3 + 7 + 6 = 666.

11920754585376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11920754585376² (a number of 27 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 4453026150 + ... + 4453028826.

It is an arithmetic number, because the mean of its divisors is an integer number (27225940560).

It is a 1-persistent number, because it is pandigital, but 2⋅11920754585376 = 23841509170752 is not.

Almost surely, 2^{11920754585376} is an apocalyptic number.

11920754585376 is a gapful number since it is divisible by the number (16) 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 11920754585376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23523212643840).

11920754585376 is an abundant number, since it is smaller than the sum of its proper divisors (35125670702304).

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

11920754585376 is a wasteful number, since it uses less digits than its factorization.

11920754585376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 11920754585376 in words is "eleven trillion, nine hundred twenty billion, seven hundred fifty-four million, five hundred eighty-five thousand, three hundred seventy-six".