562118426688000 has 5120 divisors, whose sum is σ = 2489184681984000. Its totient is φ = 109258348953600.

The previous prime is 562118426687971. The next prime is 562118426688031. The reversal of 562118426688000 is 886624811265.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2824715711901 + ... + 2824715712099.

It is an arithmetic number, because the mean of its divisors is an integer number (486168883200).

Almost surely, 2^{562118426688000} is an apocalyptic number.

562118426688000 is a gapful number since it is divisible by the number (50) 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 562118426688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244592340992000).

562118426688000 is an abundant number, since it is smaller than the sum of its proper divisors (1927066255296000).

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

562118426688000 is a wasteful number, since it uses less digits than its factorization.

562118426688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 562118426688000 in words is "five hundred sixty-two trillion, one hundred eighteen billion, four hundred twenty-six million, six hundred eighty-eight thousand".