11990505271680 has 2560 divisors, whose sum is σ = 49922185420800. Its totient is φ = 2719634227200.

The previous prime is 11990505271639. The next prime is 11990505271681. The reversal of 11990505271680 is 8617250509911.

It is a happy number.

11990505271680 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 0 + 50 + 527 + 1 + 68 + 0 = 666.

It is a super-2 number, since 2×11990505271680² (a number of 27 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 not an unprimeable number, because it can be changed into a prime (11990505271681) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 79407319605 + ... + 79407319755.

It is an arithmetic number, because the mean of its divisors is an integer number (19500853680).

Almost surely, 2^{11990505271680} is an apocalyptic number.

11990505271680 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 11990505271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24961092710400).

11990505271680 is an abundant number, since it is smaller than the sum of its proper divisors (37931680149120).

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

11990505271680 is a wasteful number, since it uses less digits than its factorization.

11990505271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 11990505271680 in words is "eleven trillion, nine hundred ninety billion, five hundred five million, two hundred seventy-one thousand, six hundred eighty".