56189374191216 has 320 divisors, whose sum is σ = 187229433692160. Its totient is φ = 15801880308480.

The previous prime is 56189374191191. The next prime is 56189374191217. The reversal of 56189374191216 is 61219147398165.

56189374191216 is a `hidden beast` number, since 5 + 6 + 1 + 8 + 93 + 7 + 419 + 121 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56189374191217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130109755 + ... + 130540901.

It is an arithmetic number, because the mean of its divisors is an integer number (585091980288).

Almost surely, 2^{56189374191216} is an apocalyptic number.

56189374191216 is a gapful number since it is divisible by the number (56) 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 56189374191216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93614716846080).

56189374191216 is an abundant number, since it is smaller than the sum of its proper divisors (131040059500944).

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

56189374191216 is a wasteful number, since it uses less digits than its factorization.

56189374191216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431849 (or 431837 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 56189374191216 in words is "fifty-six trillion, one hundred eighty-nine billion, three hundred seventy-four million, one hundred ninety-one thousand, two hundred sixteen".