11751334920 has 384 divisors, whose sum is σ = 42909834240. Its totient is φ = 2769500160.

The previous prime is 11751334901. The next prime is 11751334979. The reversal of 11751334920 is 2943315711.

11751334920 is a `hidden beast` number, since 117 + 51 + 3 + 3 + 492 + 0 = 666.

It is a super-2 number, since 2×11751334920² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15523182 + ... + 15523938.

It is an arithmetic number, because the mean of its divisors is an integer number (111744360).

Almost surely, 2^11751334920 is an apocalyptic number.

11751334920 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 11751334920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21454917120).

11751334920 is an abundant number, since it is smaller than the sum of its proper divisors (31158499320).

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

11751334920 is a wasteful number, since it uses less digits than its factorization.

11751334920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11751334920 in words is "eleven billion, seven hundred fifty-one million, three hundred thirty-four thousand, nine hundred twenty".