11754492120 has 768 divisors, whose sum is σ = 48719232000. Its totient is φ = 2467915776.

The previous prime is 11754492109. The next prime is 11754492133. The reversal of 11754492120 is 2129445711.

11754492120 is a `hidden beast` number, since 1 + 1 + 7 + 544 + 92 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161020404 + ... + 161020476.

It is an arithmetic number, because the mean of its divisors is an integer number (63436500).

Almost surely, 2^11754492120 is an apocalyptic number.

11754492120 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 11754492120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24359616000).

11754492120 is an abundant number, since it is smaller than the sum of its proper divisors (36964739880).

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

11754492120 is a wasteful number, since it uses less digits than its factorization.

11754492120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11754492120 in words is "eleven billion, seven hundred fifty-four million, four hundred ninety-two thousand, one hundred twenty".