11839776480 has 672 divisors, whose sum is σ = 50808026304. Its totient is φ = 2544058368.

The previous prime is 11839776461. The next prime is 11839776523. The reversal of 11839776480 is 8467793811.

11839776480 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 97 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×11839776480² (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 111 ways as a sum of consecutive naturals, for example, 13879734 + ... + 13880586.

It is an arithmetic number, because the mean of its divisors is an integer number (75607182).

Almost surely, 2^11839776480 is an apocalyptic number.

11839776480 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 11839776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25404013152).

11839776480 is an abundant number, since it is smaller than the sum of its proper divisors (38968249824).

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

11839776480 is an equidigital number, since it uses as much as digits as its factorization.

11839776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 11839776480 in words is "eleven billion, eight hundred thirty-nine million, seven hundred seventy-six thousand, four hundred eighty".