119940821542656 has 1152 divisors, whose sum is σ = 374898353356800. Its totient is φ = 37792198656000.

The previous prime is 119940821542651. The next prime is 119940821542657. The reversal of 119940821542656 is 656245128049911.

It is a happy number.

119940821542656 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 4 + 0 + 8 + 21 + 542 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 119940821542593 and 119940821542602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119940821542651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 477851878531 + ... + 477851878781.

It is an arithmetic number, because the mean of its divisors is an integer number (325432598400).

Almost surely, 2^{119940821542656} is an apocalyptic number.

119940821542656 is a gapful number since it is divisible by the number (16) 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 119940821542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187449176678400).

119940821542656 is an abundant number, since it is smaller than the sum of its proper divisors (254957531814144).

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

119940821542656 is a wasteful number, since it uses less digits than its factorization.

119940821542656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 119940821542656 in words is "one hundred nineteen trillion, nine hundred forty billion, eight hundred twenty-one million, five hundred forty-two thousand, six hundred fifty-six".