11461201920 has 936 divisors, whose sum is σ = 48944697984. Its totient is φ = 2563964928.

The previous prime is 11461201901. The next prime is 11461201981. The reversal of 11461201920 is 2910216411.

11461201920 is a `hidden beast` number, since 1 + 14 + 612 + 0 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243855337 + ... + 243855383.

It is an arithmetic number, because the mean of its divisors is an integer number (52291344).

Almost surely, 2^11461201920 is an apocalyptic number.

11461201920 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 11461201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24472348992).

11461201920 is an abundant number, since it is smaller than the sum of its proper divisors (37483496064).

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

11461201920 is an frugal number, since it uses more digits than its factorization.

11461201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11461201920 in words is "eleven billion, four hundred sixty-one million, two hundred one thousand, nine hundred twenty".