11920471920 has 480 divisors, whose sum is σ = 47771942400. Its totient is φ = 2706048000.

The previous prime is 11920471909. The next prime is 11920471933. The reversal of 11920471920 is 2917402911.

11920471920 is a `hidden beast` number, since 11 + 92 + 0 + 471 + 92 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 34155906 + ... + 34156254.

It is an arithmetic number, because the mean of its divisors is an integer number (99524880).

Almost surely, 2^11920471920 is an apocalyptic number.

11920471920 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 11920471920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23885971200).

11920471920 is an abundant number, since it is smaller than the sum of its proper divisors (35851470480).

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

11920471920 is a wasteful number, since it uses less digits than its factorization.

11920471920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11920471920 in words is "eleven billion, nine hundred twenty million, four hundred seventy-one thousand, nine hundred twenty".