11787469920 has 480 divisors, whose sum is σ = 43688937600. Its totient is φ = 2988969984.

The previous prime is 11787469867. The next prime is 11787469931. The reversal of 11787469920 is 2996478711.

11787469920 is a `hidden beast` number, since 1 + 17 + 87 + 469 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11787469920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29691162 + ... + 29691558.

It is an arithmetic number, because the mean of its divisors is an integer number (91018620).

Almost surely, 2^11787469920 is an apocalyptic number.

11787469920 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 11787469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21844468800).

11787469920 is an abundant number, since it is smaller than the sum of its proper divisors (31901467680).

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

11787469920 is a wasteful number, since it uses less digits than its factorization.

11787469920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 11787469920 in words is "eleven billion, seven hundred eighty-seven million, four hundred sixty-nine thousand, nine hundred twenty".