11676067220400 has 480 divisors, whose sum is σ = 42513391468800. Its totient is φ = 2713282252800.

The previous prime is 11676067220303. The next prime is 11676067220417. The reversal of 11676067220400 is 402276067611.

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, 53099482 + ... + 53318918.

It is an arithmetic number, because the mean of its divisors is an integer number (88569565560).

Almost surely, 2^{11676067220400} is an apocalyptic number.

11676067220400 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 11676067220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21256695734400).

11676067220400 is an abundant number, since it is smaller than the sum of its proper divisors (30837324248400).

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

11676067220400 is a wasteful number, since it uses less digits than its factorization.

11676067220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219637 (or 219626 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 11676067220400 in words is "eleven trillion, six hundred seventy-six billion, sixty-seven million, two hundred twenty thousand, four hundred".